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Let’s check out your problem:
Solve for
x
\mathrm{x}
x
:
\newline
2
x
+
41
−
17
=
−
12
\sqrt{2 x+41}-17=-12
2
x
+
41
−
17
=
−
12
\newline
Answer:
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Math Problems
Precalculus
Solve radical equations
Full solution
Q.
Solve for
x
\mathrm{x}
x
:
\newline
2
x
+
41
−
17
=
−
12
\sqrt{2 x+41}-17=-12
2
x
+
41
−
17
=
−
12
\newline
Answer:
Add
17
17
17
to isolate:
Add
17
17
17
to both sides of the equation to isolate the
square root
on one side.
\newline
2
x
+
41
−
17
+
17
=
−
12
+
17
\sqrt{2x + 41} - 17 + 17 = -12 + 17
2
x
+
41
−
17
+
17
=
−
12
+
17
\newline
2
x
+
41
=
5
\sqrt{2x + 41} = 5
2
x
+
41
=
5
Square to eliminate square root:
Square both sides of the equation to eliminate the square root.
\newline
(
2
x
+
41
)
2
=
5
2
(\sqrt{2x + 41})^2 = 5^2
(
2
x
+
41
)
2
=
5
2
\newline
2
x
+
41
=
25
2x + 41 = 25
2
x
+
41
=
25
Subtract
41
41
41
to solve:
Subtract
41
41
41
from both sides of the equation to solve for
2
x
2x
2
x
.
\newline
2
x
+
41
−
41
=
25
−
41
2x + 41 - 41 = 25 - 41
2
x
+
41
−
41
=
25
−
41
\newline
2
x
=
−
16
2x = -16
2
x
=
−
16
Divide to find
x
x
x
:
Divide both sides by
2
2
2
to solve for
x
x
x
.
2
x
2
=
−
16
2
\frac{2x}{2} = \frac{-16}{2}
2
2
x
=
2
−
16
x
=
−
8
x = -8
x
=
−
8
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=
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