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Let’s check out your problem:
Solve for
x
\mathrm{x}
x
:
\newline
4
x
+
68
−
9
=
−
1
\sqrt{4 x+68}-9=-1
4
x
+
68
−
9
=
−
1
\newline
Answer:
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Math Problems
Precalculus
Solve radical equations
Full solution
Q.
Solve for
x
\mathrm{x}
x
:
\newline
4
x
+
68
−
9
=
−
1
\sqrt{4 x+68}-9=-1
4
x
+
68
−
9
=
−
1
\newline
Answer:
Add
9
9
9
to isolate square root:
Add
9
9
9
to both sides of the equation to isolate the
square root
on one side.
\newline
4
x
+
68
−
9
+
9
=
−
1
+
9
\sqrt{4x + 68} - 9 + 9 = -1 + 9
4
x
+
68
−
9
+
9
=
−
1
+
9
\newline
4
x
+
68
=
8
\sqrt{4x + 68} = 8
4
x
+
68
=
8
Square both sides:
Square both sides of the equation to eliminate the square root.
\newline
(
4
x
+
68
)
2
=
8
2
(\sqrt{4x + 68})^2 = 8^2
(
4
x
+
68
)
2
=
8
2
\newline
4
x
+
68
=
64
4x + 68 = 64
4
x
+
68
=
64
Subtract
68
68
68
to isolate
x
x
x
:
Subtract
68
68
68
from both sides of the equation to isolate the term with the variable
x
x
x
.
\newline
4
x
+
68
−
68
=
64
−
68
4x + 68 - 68 = 64 - 68
4
x
+
68
−
68
=
64
−
68
\newline
4
x
=
−
4
4x = -4
4
x
=
−
4
Divide by
4
4
4
to solve
x
x
x
:
Divide both sides of the equation by
4
4
4
to solve for
x
x
x
.
4
x
4
=
−
4
4
\frac{4x}{4} = \frac{-4}{4}
4
4
x
=
4
−
4
x
=
−
1
x = -1
x
=
−
1
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\newline
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p
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4
p
=
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+
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p
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