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Let’s check out your problem:
Solve for
f
f
f
.
\newline
9
f
=
10
f
−
6
\sqrt{9f} = \sqrt{10f - 6}
9
f
=
10
f
−
6
\newline
f
=
f =
f
=
_____
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Math Problems
Precalculus
Solve radical equations
Full solution
Q.
Solve for
f
f
f
.
\newline
9
f
=
10
f
−
6
\sqrt{9f} = \sqrt{10f - 6}
9
f
=
10
f
−
6
\newline
f
=
f =
f
=
_____
Square both sides:
Square both sides of the equation to eliminate the square roots.
\newline
(
9
f
)
2
=
(
10
f
−
6
)
2
(\sqrt{9f})^2 = (\sqrt{10f - 6})^2
(
9
f
)
2
=
(
10
f
−
6
)
2
\newline
9
f
=
10
f
−
6
9f = 10f - 6
9
f
=
10
f
−
6
Subtract
f
f
f
terms:
Subtract
10
f
10f
10
f
from both sides to get all the
f
f
f
terms on one side.
\newline
9
f
−
10
f
=
10
f
−
10
f
−
6
9f - 10f = 10f - 10f - 6
9
f
−
10
f
=
10
f
−
10
f
−
6
\newline
−
1
f
=
−
6
-1f = -6
−
1
f
=
−
6
Divide to solve:
Divide both sides by
−
1
-1
−
1
to solve for
f
f
f
.
f
=
−
6
−
1
f = \frac{-6}{-1}
f
=
−
1
−
6
f
=
6
f = 6
f
=
6
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