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

Square both sides: Square both sides of the equation to eliminate the square roots. (sqrt(10 + w))^2 = (sqrt(–4w))^2 10 + w = –4wMove terms with w: Move all terms involving w to one side of the equation. 10 + w + 4w = –4w + 4w 10 + 5w = 0Isolate variable: Isolate the variable w. 5w = -10 w = -10 / 5 w = -2Check solution: Check the solution by substituting w back into the original equation. sqrt(10 + (-2)) = sqrt(–4(-2)) sqrt(8) = sqrt(8)

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

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Q. Solve for

w

\newline

\sqrt{10 + w} = \sqrt{-4w}

\newline

w =

_____

Square both sides: Square both sides of the equation to eliminate the square roots. $\newline$ $(\sqrt{10 + w})^2 = (\sqrt{\text{–}4w})^2$ $\newline$ $10 + w = \text{–}4w$
Move terms with $w$ : Move all terms involving $w$ to one side of the equation. $\newline$ $10 + w + 4w = -4w + 4w$ $\newline$ $10 + 5w = 0$
Isolate variable: Isolate the variable $w$ . $\newline$ $5w = -10$ $\newline$ $w = \frac{-10}{5}$ $\newline$ $w = -2$
Check solution: Check the solution by substituting $w$ back into the original equation. $\sqrt{10 + (-2)} = \sqrt{–4(-2)}$ $\sqrt{8} = \sqrt{8}$