Solve for x. sqrt 8x = sqrt ( –1 + 9x) x = _____

Square both sides: Square both sides of the equation to eliminate the square roots. (sqrt(8x))^2 = (sqrt(–1 + 9x))^2 8x = –1 + 9xSubtract variable term: Subtract 9x from both sides to isolate the variable term on one side. 8x - 9x = –1 + 9x - 9x –x = –1Multiply by -1: Multiply both sides by -1 to solve for x. –1 * (–x) = –1 * (–1) x = 1

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Solve for $x$ . $\newline$ $\sqrt{8x} = \sqrt{-1 + 9x}$ $\newline$ $x =$ _____

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Precalculus

Solve radical equations

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Q. Solve for

x

\newline

\sqrt{8x} = \sqrt{-1 + 9x}

\newline

x =

_____

Square both sides: Square both sides of the equation to eliminate the square roots. $\newline$ $(\sqrt{8x})^2 = (\sqrt{\text{–}1 + 9x})^2$ $\newline$ $8x = \text{–}1 + 9x$
Subtract variable term: Subtract $9x$ from both sides to isolate the variable term on one side. $\newline$ $8x - 9x = -1 + 9x - 9x$ $\newline$ $-x = -1$
Multiply by $-1$ : Multiply both sides by $-1$ to solve for $x$ . $-1 \times (\text{-}x) = -1 \times (\text{-}1)$ $x = 1$