Solve for m. sqrt ( 3 − m) = sqrt –2m m = _____

Square both sides: Square both sides of the equation to eliminate the square roots. (sqrt(3 − m))^2 = (sqrt(−2m))^2 3 − m = −2mAdd m terms: Add m to both sides to get all the m terms on one side. 3 − m + m = −2m + m 3 = −mMultiply by -1: Multiply both sides by -1 to solve for m. -1 * 3 = -1 * (−m) -3 = mCheck solution: Check the solution by substituting m back into the original equation to ensure both sides are equal. sqrt(3 − (-3)) = sqrt(−2(-3)) sqrt(3 + 3) = sqrt(6) sqrt(6) = sqrt(6)

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Solve for $m$ . $\newline$ $\sqrt{3 - m} = \sqrt{-2m}$ $\newline$ $m =$ _____

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Q. Solve for

m

\newline

\sqrt{3 - m} = \sqrt{-2m}

\newline

m =

_____

Square both sides: Square both sides of the equation to eliminate the square roots. $\newline$ $(\sqrt{3 - m})^2 = (\sqrt{-2m})^2$ $\newline$ $3 - m = -2m$
Add $m$ terms: Add $m$ to both sides to get all the $m$ terms on one side. $\newline$ $3 - m + m = -2m + m$ $\newline$ $3 = -m$
Multiply by $-1$ : Multiply both sides by $-1$ to solve for $m$ . $-1 \times 3 = -1 \times (−m)$ $-3 = m$
Check solution: Check the solution by substituting $m$ back into the original equation to ensure both sides are equal. $\newline$ $\sqrt{3 − (-3)} = \sqrt{−2(-3)}$ $\newline$ $\sqrt{3 + 3} = \sqrt{6}$ $\newline$ $\sqrt{6} = \sqrt{6}$