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Let’s check out your problem:
Solve for
x
\mathrm{x}
x
:
\newline
3
x
+
45
−
5
=
1
\sqrt{3 x+45}-5=1
3
x
+
45
−
5
=
1
\newline
Answer:
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Math Problems
Precalculus
Solve radical equations
Full solution
Q.
Solve for
x
\mathrm{x}
x
:
\newline
3
x
+
45
−
5
=
1
\sqrt{3 x+45}-5=1
3
x
+
45
−
5
=
1
\newline
Answer:
Add
5
5
5
to both sides:
Add
5
5
5
to both sides of the equation to isolate the
square root
on one side.
\newline
3
x
+
45
−
5
+
5
=
1
+
5
\sqrt{3x + 45} - 5 + 5 = 1 + 5
3
x
+
45
−
5
+
5
=
1
+
5
\newline
3
x
+
45
=
6
\sqrt{3x + 45} = 6
3
x
+
45
=
6
Square both sides:
Square both sides of the equation to eliminate the square root.
\newline
(
3
x
+
45
)
2
=
6
2
(\sqrt{3x + 45})^2 = 6^2
(
3
x
+
45
)
2
=
6
2
\newline
3
x
+
45
=
36
3x + 45 = 36
3
x
+
45
=
36
Subtract
45
45
45
:
Subtract
45
45
45
from both sides of the equation to isolate the term with the variable
x
x
x
.
\newline
3
x
+
45
−
45
=
36
−
45
3x + 45 - 45 = 36 - 45
3
x
+
45
−
45
=
36
−
45
\newline
3
x
=
−
9
3x = -9
3
x
=
−
9
Divide by
3
3
3
:
Divide both sides of the equation by
3
3
3
to solve for
x
x
x
.
3
x
3
=
−
9
3
\frac{3x}{3} = \frac{-9}{3}
3
3
x
=
3
−
9
x
=
−
3
x = -3
x
=
−
3
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