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Math Problems
Algebra 2
Solve a quadratic equation using the quadratic formula
Solve using the quadratic formula.
\newline
7
w
2
−
6
w
−
9
=
0
7w^2 - 6w - 9 = 0
7
w
2
−
6
w
−
9
=
0
\newline
Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.
\newline
w
=
w =
w
=
_____ or
w
=
w =
w
=
_____
Get tutor help
Solve using the quadratic formula.
\newline
2
p
2
+
8
p
−
4
=
0
2p^2 + 8p - 4 = 0
2
p
2
+
8
p
−
4
=
0
\newline
Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.
\newline
p
=
p =
p
=
_____ or
p
=
p =
p
=
_____
Get tutor help
Solve using the quadratic formula.
\newline
6
v
2
+
8
v
+
2
=
0
6v^2 + 8v + 2 = 0
6
v
2
+
8
v
+
2
=
0
\newline
Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.
\newline
v
=
v =
v
=
_____ or
v
=
v =
v
=
_____
Get tutor help
Solve using the quadratic formula.
\newline
8
v
2
+
8
v
−
5
=
0
8v^2 + 8v - 5 = 0
8
v
2
+
8
v
−
5
=
0
\newline
Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.
\newline
v
=
v =
v
=
_____ or
v
=
v =
v
=
_____
Get tutor help
Solve using the quadratic formula.
\newline
4
u
2
+
6
u
−
6
=
0
4u^2 + 6u - 6 = 0
4
u
2
+
6
u
−
6
=
0
\newline
Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.
\newline
u
=
u =
u
=
_____ or
u
=
u =
u
=
_____
Get tutor help
Solve using the quadratic formula.
\newline
7
h
2
+
3
h
−
9
=
0
7h^2 + 3h - 9 = 0
7
h
2
+
3
h
−
9
=
0
\newline
Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.
\newline
h
=
h =
h
=
_____ or
h
=
h =
h
=
_____
Get tutor help
Solve.
\newline
9
+
7
x
=
7
x
2
9+7 x=7 x^{2}
9
+
7
x
=
7
x
2
\newline
Choose
1
1
1
answer:
\newline
(A)
x
=
−
3
±
2
6
−
3
x=\frac{-3 \pm 2 \sqrt{6}}{-3}
x
=
−
3
−
3
±
2
6
\newline
(B)
x
=
−
1
,
7
10
x=-1, \frac{7}{10}
x
=
−
1
,
10
7
\newline
(C)
x
=
1
±
57
−
8
x=\frac{1 \pm \sqrt{57}}{-8}
x
=
−
8
1
±
57
\newline
(D)
x
=
−
7
±
301
−
14
x=\frac{-7 \pm \sqrt{301}}{-14}
x
=
−
14
−
7
±
301
Get tutor help
Solve.
\newline
−
9
x
+
10
x
2
+
8
=
14
-9 x+10 x^{2}+8=14
−
9
x
+
10
x
2
+
8
=
14
\newline
Choose
1
1
1
answer:
\newline
(A)
x
=
3
4
,
1
x=\frac{3}{4}, 1
x
=
4
3
,
1
\newline
(B)
x
=
4
±
26
10
x=\frac{4 \pm \sqrt{26}}{10}
x
=
10
4
±
26
\newline
(C)
x
=
−
1
±
109
18
x=\frac{-1 \pm \sqrt{109}}{18}
x
=
18
−
1
±
109
\newline
(D)
x
=
9
±
321
20
x=\frac{9 \pm \sqrt{321}}{20}
x
=
20
9
±
321
Get tutor help
Solve.
\newline
−
6
x
2
+
6
−
2
x
=
x
-6 x^{2}+6-2 x=x
−
6
x
2
+
6
−
2
x
=
x
\newline
Choose
1
1
1
answer:
\newline
(A)
x
=
5
±
57
16
x=\frac{5 \pm \sqrt{57}}{16}
x
=
16
5
±
57
\newline
(B)
x
=
−
4
±
34
3
x=\frac{-4 \pm \sqrt{34}}{3}
x
=
3
−
4
±
34
\newline
(C)
x
=
−
7
±
3
41
−
16
x=\frac{-7 \pm 3 \sqrt{41}}{-16}
x
=
−
16
−
7
±
3
41
\newline
(D)
x
=
1
±
17
−
4
x=\frac{1 \pm \sqrt{17}}{-4}
x
=
−
4
1
±
17
Get tutor help
Solve.
\newline
10
=
−
4
x
+
3
x
2
10=-4 x+3 x^{2}
10
=
−
4
x
+
3
x
2
\newline
Choose
1
1
1
answer:
\newline
(A)
x
=
1
,
−
1
2
x=1,-\frac{1}{2}
x
=
1
,
−
2
1
\newline
(B)
x
=
−
1
±
10
2
x=\frac{-1 \pm \sqrt{10}}{2}
x
=
2
−
1
±
10
\newline
(C)
x
=
−
2
±
34
−
3
x=\frac{-2 \pm \sqrt{34}}{-3}
x
=
−
3
−
2
±
34
\newline
(D)
x
=
−
3
±
17
2
x=\frac{-3 \pm \sqrt{17}}{2}
x
=
2
−
3
±
17
Get tutor help
Solve.
\newline
3
x
−
9
x
2
=
−
10
3 x-9 x^{2}=-10
3
x
−
9
x
2
=
−
10
\newline
Choose
1
1
1
answer:
\newline
(A)
x
=
7
±
77
2
x=\frac{7 \pm \sqrt{77}}{2}
x
=
2
7
±
77
\newline
(B)
x
=
−
2
±
13
−
3
x=\frac{-2 \pm \sqrt{13}}{-3}
x
=
−
3
−
2
±
13
\newline
(C)
x
=
−
5
±
305
14
x=\frac{-5 \pm \sqrt{305}}{14}
x
=
14
−
5
±
305
\newline
(D)
x
=
−
1
±
41
−
6
x=\frac{-1 \pm \sqrt{41}}{-6}
x
=
−
6
−
1
±
41
Get tutor help
Solve.
\newline
−
6
x
2
−
2
−
3
x
=
−
8
-6 x^{2}-2-3 x=-8
−
6
x
2
−
2
−
3
x
=
−
8
\newline
Choose
1
1
1
answer:
\newline
(A)
x
=
5
±
57
16
x=\frac{5 \pm \sqrt{57}}{16}
x
=
16
5
±
57
\newline
(B)
x
=
−
4
±
34
3
x=\frac{-4 \pm \sqrt{34}}{3}
x
=
3
−
4
±
34
\newline
(C)
x
=
−
7
±
3
41
−
16
x=\frac{-7 \pm 3 \sqrt{41}}{-16}
x
=
−
16
−
7
±
3
41
\newline
(D)
x
=
1
±
17
−
4
x=\frac{1 \pm \sqrt{17}}{-4}
x
=
−
4
1
±
17
Get tutor help
Solve.
\newline
−
4
+
x
+
7
x
2
=
0
-4+x+7 x^{2}=0
−
4
+
x
+
7
x
2
=
0
\newline
Choose
1
1
1
answer:
\newline
(A)
x
=
−
7
±
65
8
x=\frac{-7 \pm \sqrt{65}}{8}
x
=
8
−
7
±
65
\newline
(B)
x
=
−
1
±
5
2
x=\frac{-1 \pm \sqrt{5}}{2}
x
=
2
−
1
±
5
\newline
(C)
x
=
−
1
±
113
14
x=\frac{-1 \pm \sqrt{113}}{14}
x
=
14
−
1
±
113
\newline
(D)
x
=
3
±
21
6
x=\frac{3 \pm \sqrt{21}}{6}
x
=
6
3
±
21
Get tutor help
Solve.
\newline
9
=
−
7
x
+
7
x
2
9=-7 x+7 x^{2}
9
=
−
7
x
+
7
x
2
\newline
Choose
1
1
1
answer:
\newline
(A)
x
=
−
3
±
2
6
−
3
x=\frac{-3 \pm 2 \sqrt{6}}{-3}
x
=
−
3
−
3
±
2
6
\newline
(B)
x
=
−
1
,
7
10
x=-1, \frac{7}{10}
x
=
−
1
,
10
7
\newline
(C)
x
=
1
±
57
−
8
x=\frac{1 \pm \sqrt{57}}{-8}
x
=
−
8
1
±
57
\newline
(D)
x
=
−
7
±
301
−
14
x=\frac{-7 \pm \sqrt{301}}{-14}
x
=
−
14
−
7
±
301
Get tutor help
Solve.
\newline
−
7
x
2
+
7
x
+
1
=
−
8
-7 x^{2}+7 x+1=-8
−
7
x
2
+
7
x
+
1
=
−
8
\newline
Choose
1
1
1
answer:
\newline
(A)
x
=
−
7
±
301
−
14
x=\frac{-7 \pm \sqrt{301}}{-14}
x
=
−
14
−
7
±
301
\newline
(B)
x
=
−
1
,
7
10
x=-1, \frac{7}{10}
x
=
−
1
,
10
7
\newline
(C)
x
=
2
±
5
−
2
x=\frac{2 \pm \sqrt{5}}{-2}
x
=
−
2
2
±
5
\newline
(D)
x
=
1
±
57
−
8
x=\frac{1 \pm \sqrt{57}}{-8}
x
=
−
8
1
±
57
Get tutor help
Solve.
\newline
−
6
+
3
x
−
9
x
2
=
−
16
-6+3 x-9 x^{2}=-16
−
6
+
3
x
−
9
x
2
=
−
16
\newline
Choose
1
1
1
answer:
\newline
(A)
x
=
7
±
77
2
x=\frac{7 \pm \sqrt{77}}{2}
x
=
2
7
±
77
\newline
(B)
x
=
−
5
±
305
14
x=\frac{-5 \pm \sqrt{305}}{14}
x
=
14
−
5
±
305
\newline
(C)
x
=
−
1
±
2
2
−
7
x=\frac{-1 \pm 2 \sqrt{2}}{-7}
x
=
−
7
−
1
±
2
2
\newline
(D)
x
=
−
1
±
41
−
6
x=\frac{-1 \pm \sqrt{41}}{-6}
x
=
−
6
−
1
±
41
Get tutor help
Solve.
\newline
6
x
2
+
7
x
+
9
=
11
x
2
6 x^{2}+7 x+9=11 x^{2}
6
x
2
+
7
x
+
9
=
11
x
2
\newline
Choose
1
1
1
answer:
\newline
(A)
x
=
1
±
11
x=1 \pm \sqrt{11}
x
=
1
±
11
\newline
(B)
x
=
5
±
145
12
x=\frac{5 \pm \sqrt{145}}{12}
x
=
12
5
±
145
\newline
(C)
x
=
−
2
±
31
−
9
x=\frac{-2 \pm \sqrt{31}}{-9}
x
=
−
9
−
2
±
31
\newline
(D)
x
=
−
7
±
229
−
10
x=\frac{-7 \pm \sqrt{229}}{-10}
x
=
−
10
−
7
±
229
Get tutor help
Solve.
\newline
−
7
x
+
1
−
10
x
2
=
0
-7 x+1-10 x^{2}=0
−
7
x
+
1
−
10
x
2
=
0
\newline
Choose
1
1
1
answer:
\newline
(A)
x
=
7
±
89
−
20
x=\frac{7 \pm \sqrt{89}}{-20}
x
=
−
20
7
±
89
\newline
(B)
x
=
−
1
±
73
9
x=\frac{-1 \pm \sqrt{73}}{9}
x
=
9
−
1
±
73
\newline
(C)
x
=
−
3
±
105
−
12
x=\frac{-3 \pm \sqrt{105}}{-12}
x
=
−
12
−
3
±
105
\newline
(D)
x
=
−
9
±
249
−
12
x=\frac{-9 \pm \sqrt{249}}{-12}
x
=
−
12
−
9
±
249
Get tutor help
Solve.
\newline
3
x
=
9
x
2
−
10
3 x=9 x^{2}-10
3
x
=
9
x
2
−
10
\newline
Choose
1
1
1
answer:
\newline
(A)
x
=
7
±
77
2
x=\frac{7 \pm \sqrt{77}}{2}
x
=
2
7
±
77
\newline
(B)
x
=
−
2
±
13
−
3
x=\frac{-2 \pm \sqrt{13}}{-3}
x
=
−
3
−
2
±
13
\newline
(ᄃ)
x
=
−
5
±
305
14
x=\frac{-5 \pm \sqrt{305}}{14}
x
=
14
−
5
±
305
\newline
(D)
x
=
−
1
±
41
−
6
x=\frac{-1 \pm \sqrt{41}}{-6}
x
=
−
6
−
1
±
41
Get tutor help
Solve.
\newline
6
+
2
x
2
−
3
x
=
8
x
2
6+2 x^{2}-3 x=8 x^{2}
6
+
2
x
2
−
3
x
=
8
x
2
\newline
Choose
1
1
1
answer:
\newline
(A)
x
=
3
,
−
1
2
x=3,-\frac{1}{2}
x
=
3
,
−
2
1
\newline
(B)
x
=
5
±
57
16
x=\frac{5 \pm \sqrt{57}}{16}
x
=
16
5
±
57
\newline
(C)
x
=
1
±
17
−
4
x=\frac{1 \pm \sqrt{17}}{-4}
x
=
−
4
1
±
17
\newline
(D)
x
=
−
4
±
34
3
x=\frac{-4 \pm \sqrt{34}}{3}
x
=
3
−
4
±
34
Get tutor help
Solve.
\newline
−
5
x
2
+
7
x
=
−
9
-5 x^{2}+7 x=-9
−
5
x
2
+
7
x
=
−
9
\newline
Choose
1
1
1
answer:
\newline
(A)
x
=
5
±
145
12
x=\frac{5 \pm \sqrt{145}}{12}
x
=
12
5
±
145
\newline
(B)
x
=
1
±
11
x=1 \pm \sqrt{11}
x
=
1
±
11
\newline
(C)
x
=
−
7
±
229
−
10
x=\frac{-7 \pm \sqrt{229}}{-10}
x
=
−
10
−
7
±
229
\newline
(D)
x
=
2
,
−
1
x=2,-1
x
=
2
,
−
1
Get tutor help
Solve.
\newline
8
x
+
10
x
2
−
6
=
17
x
8 x+10 x^{2}-6=17 x
8
x
+
10
x
2
−
6
=
17
x
\newline
Choose
1
1
1
answer:
\newline
(A)
x
=
3
4
,
1
x=\frac{3}{4}, 1
x
=
4
3
,
1
\newline
(B)
x
=
4
±
26
10
x=\frac{4 \pm \sqrt{26}}{10}
x
=
10
4
±
26
\newline
(C)
x
=
−
1
±
109
18
x=\frac{-1 \pm \sqrt{109}}{18}
x
=
18
−
1
±
109
\newline
(D)
x
=
9
±
321
20
x=\frac{9 \pm \sqrt{321}}{20}
x
=
20
9
±
321
Get tutor help
Solve.
\newline
−
6
x
−
1
+
5
x
2
=
8
x
2
-6 x-1+5 x^{2}=8 x^{2}
−
6
x
−
1
+
5
x
2
=
8
x
2
\newline
Choose
1
1
1
answer:
\newline
(A)
x
=
5
±
67
6
x=\frac{5 \pm \sqrt{67}}{6}
x
=
6
5
±
67
\newline
(B)
x
=
1
,
7
2
x=1, \frac{7}{2}
x
=
1
,
2
7
\newline
(C)
x
=
7
±
3
41
−
20
x=\frac{7 \pm 3 \sqrt{41}}{-20}
x
=
−
20
7
±
3
41
\newline
(D)
x
=
3
±
6
−
3
x=\frac{3 \pm \sqrt{6}}{-3}
x
=
−
3
3
±
6
Get tutor help
Solve.
\newline
−
6
x
=
3
x
2
+
1
-6 x=3 x^{2}+1
−
6
x
=
3
x
2
+
1
\newline
Choose
1
1
1
answer:
\newline
(A)
x
=
2
±
4
2
−
7
x=\frac{2 \pm 4 \sqrt{2}}{-7}
x
=
−
7
2
±
4
2
\newline
(B)
x
=
5
±
67
6
x=\frac{5 \pm \sqrt{67}}{6}
x
=
6
5
±
67
\newline
(C)
x
=
3
±
6
−
3
x=\frac{3 \pm \sqrt{6}}{-3}
x
=
−
3
3
±
6
\newline
(D)
x
=
−
3
±
2
2
x=-3 \pm 2 \sqrt{2}
x
=
−
3
±
2
2
Get tutor help
Solve.
\newline
6
−
6
x
2
=
3
x
6-6 x^{2}=3 x
6
−
6
x
2
=
3
x
\newline
Choose
1
1
1
answer:
\newline
(A)
x
=
3
,
−
1
2
x=3,-\frac{1}{2}
x
=
3
,
−
2
1
\newline
(B)
x
=
1
±
17
−
4
x=\frac{1 \pm \sqrt{17}}{-4}
x
=
−
4
1
±
17
\newline
(C)
x
=
−
4
±
34
3
x=\frac{-4 \pm \sqrt{34}}{3}
x
=
3
−
4
±
34
\newline
(D)
x
=
7
±
193
−
12
x=\frac{7 \pm \sqrt{193}}{-12}
x
=
−
12
7
±
193
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Solve.
\newline
−
7
x
+
8
−
10
x
2
=
7
-7 x+8-10 x^{2}=7
−
7
x
+
8
−
10
x
2
=
7
\newline
Choose
1
1
1
answer:
\newline
(A)
x
=
7
±
89
−
20
x=\frac{7 \pm \sqrt{89}}{-20}
x
=
−
20
7
±
89
\newline
(B)
x
=
−
9
±
249
−
12
x=\frac{-9 \pm \sqrt{249}}{-12}
x
=
−
12
−
9
±
249
\newline
(C)
x
=
2
±
29
5
x=\frac{2 \pm \sqrt{29}}{5}
x
=
5
2
±
29
\newline
(D)
x
=
−
1
,
7
10
x=-1, \frac{7}{10}
x
=
−
1
,
10
7
Get tutor help
Solve.
\newline
3
x
2
+
1
−
7
x
=
13
x
2
3 x^{2}+1-7 x=13 x^{2}
3
x
2
+
1
−
7
x
=
13
x
2
\newline
Choose
1
1
1
answer:
\newline
(A)
x
=
2
±
29
5
x=\frac{2 \pm \sqrt{29}}{5}
x
=
5
2
±
29
\newline
(B)
x
=
7
±
89
−
20
x=\frac{7 \pm \sqrt{89}}{-20}
x
=
−
20
7
±
89
\newline
(C)
x
=
−
3
±
105
−
12
x=\frac{-3 \pm \sqrt{105}}{-12}
x
=
−
12
−
3
±
105
\newline
(D)
x
=
−
1
±
73
9
x=\frac{-1 \pm \sqrt{73}}{9}
x
=
9
−
1
±
73
Get tutor help
Solve.
\newline
−
7
x
2
+
x
+
9
=
−
6
x
-7 x^{2}+x+9=-6 x
−
7
x
2
+
x
+
9
=
−
6
x
\newline
Choose
1
1
1
answer:
\newline
(A)
x
=
−
7
±
301
−
14
x=\frac{-7 \pm \sqrt{301}}{-14}
x
=
−
14
−
7
±
301
\newline
(B)
x
=
−
1
,
7
10
x=-1, \frac{7}{10}
x
=
−
1
,
10
7
\newline
(C)
x
=
2
±
5
−
2
x=\frac{2 \pm \sqrt{5}}{-2}
x
=
−
2
2
±
5
\newline
(D)
x
=
1
±
57
−
8
x=\frac{1 \pm \sqrt{57}}{-8}
x
=
−
8
1
±
57
Get tutor help
Solve.
\newline
10
x
2
=
6
+
9
x
10x^{2}=6+9x
10
x
2
=
6
+
9
x
\newline
Choose
1
1
1
answer:
\newline
(A)
\newline
x
=
5
±
65
−
2
x=\frac{5\pm\sqrt{65}}{-2}
x
=
−
2
5
±
65
\newline
(B)
\newline
x
=
9
±
321
20
x=\frac{9\pm\sqrt{321}}{20}
x
=
20
9
±
321
\newline
(C)
\newline
x
=
4
±
26
10
x=\frac{4\pm\sqrt{26}}{10}
x
=
10
4
±
26
\newline
(D)
\newline
x
=
−
1
±
109
18
x=\frac{-1\pm\sqrt{109}}{18}
x
=
18
−
1
±
109
Get tutor help
Solve.
\newline
6
−
6
x
2
−
3
x
=
0
6-6x^{2}-3x=0
6
−
6
x
2
−
3
x
=
0
\newline
Choose
1
1
1
answer:
\newline
(A)
\newline
x
=
7
±
193
−
12
x=\frac{7\pm\sqrt{193}}{-12}
x
=
−
12
7
±
193
\newline
(B)
\newline
x
=
5
±
57
16
x=\frac{5\pm\sqrt{57}}{16}
x
=
16
5
±
57
\newline
(C)
\newline
x
=
1
±
17
−
4
x=\frac{1\pm\sqrt{17}}{-4}
x
=
−
4
1
±
17
\newline
(D)
\newline
x
=
−
4
±
34
3
x=\frac{-4\pm\sqrt{34}}{3}
x
=
3
−
4
±
34
Get tutor help
Solve.
\newline
10
x
2
−
6
=
9
x
10x^{2}-6=9x
10
x
2
−
6
=
9
x
\newline
Choose
1
1
1
answer:
\newline
(A)
\newline
x
=
5
±
65
−
2
x=\frac{5\pm\sqrt{65}}{-2}
x
=
−
2
5
±
65
\newline
(B)
\newline
x
=
9
±
321
20
x=\frac{9\pm\sqrt{321}}{20}
x
=
20
9
±
321
\newline
(C)
\newline
x
=
4
±
26
10
x=\frac{4\pm\sqrt{26}}{10}
x
=
10
4
±
26
\newline
(D)
\newline
x
=
−
1
±
109
18
x=\frac{-1\pm\sqrt{109}}{18}
x
=
18
−
1
±
109
Get tutor help
Solve.
\newline
10
−
9
x
2
+
4
x
=
−
6
x
2
10-9x^{2}+4x=-6x^{2}
10
−
9
x
2
+
4
x
=
−
6
x
2
\newline
Choose
1
1
1
answer:
\newline
(A)
\newline
x
=
−
1
±
129
8
x=\frac{-1\pm\sqrt{129}}{8}
x
=
8
−
1
±
129
\newline
(B)
\newline
x
=
−
3
±
17
2
x=\frac{-3\pm\sqrt{17}}{2}
x
=
2
−
3
±
17
\newline
(C)
\newline
x
=
1
,
−
1
2
x=1,-\frac{1}{2}
x
=
1
,
−
2
1
\newline
(D)
\newline
x
=
−
2
±
34
−
3
x=\frac{-2\pm\sqrt{34}}{-3}
x
=
−
3
−
2
±
34
Get tutor help
Solve using the quadratic formula.
\newline
8
w
2
−
3
w
−
9
=
0
8w^2 - 3w - 9 = 0
8
w
2
−
3
w
−
9
=
0
\newline
Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.
\newline
`w=`____ or `w=`____
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