Solve for g. sqrt 2g = sqrt ( –10 + 4g) g = _____

Square both sides: Square both sides of the equation to eliminate the square roots. (sqrt(2g))^2 = (sqrt(–10 + 4g))^2 2g = –10 + 4gSubtract g terms: Subtract 4g from both sides to get all the g terms on one side. 2g - 4g = –10 + 4g - 4g -2g = –10Divide by -2: Divide both sides by -2 to solve for g. -2g / -2 = –10 / -2 g = 5

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Solve for $g$ . $\newline$ $\sqrt{2g} = \sqrt{-10 + 4g}$ $\newline$ $g =$ _____

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Precalculus

Solve radical equations

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Q. Solve for

g

\newline

\sqrt{2g} = \sqrt{-10 + 4g}

\newline

g =

_____

Square both sides: Square both sides of the equation to eliminate the square roots. $\newline$ $(\sqrt{2g})^2 = (\sqrt{\text{–}10 + 4g})^2$ $\newline$ $2g = \text{–}10 + 4g$
Subtract $g$ terms: Subtract $4g$ from both sides to get all the $g$ terms on one side. $\newline$ $2g - 4g = -10 + 4g - 4g$ $\newline$ $-2g = -10$
Divide by $-2$ : Divide both sides by $-2$ to solve for $g$ . $\newline$ $-2g / -2 = -10 / -2$ $\newline$ $g = 5$