Solve for m. sqrt m = sqrt ( 3m − 10) m = _____

Square Both Sides: Square both sides of the equation to eliminate the square roots. (sqrt(m))^2 = (sqrt(3m - 10))^2 m = 3m - 10Subtract 3m: Subtract 3m from both sides to get all the m terms on one side. m - 3m = -10 -2m = -10Divide by -2: Divide both sides by -2 to solve for m. -2m / -2 = -10 / -2 m = 5Check Solution: Check the solution by substituting m back into the original equation. sqrt(5) = sqrt(3(5) - 10) sqrt(5) = sqrt(15 - 10) sqrt(5) = sqrt(5) This confirms that m = 5 is a correct solution.

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Solve for $m$ . $\newline$ $\sqrt{m} = \sqrt{3m - 10}$ $\newline$ $m =$ _____

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Q. Solve for

m

\newline

\sqrt{m} = \sqrt{3m - 10}

\newline

m =

_____

Square Both Sides: Square both sides of the equation to eliminate the square roots. $\newline$ $(\sqrt{m})^2 = (\sqrt{3m - 10})^2$ $\newline$ $m = 3m - 10$
Subtract $3m$ : Subtract $3m$ from both sides to get all the $m$ terms on one side. $\newline$ $m - 3m = -10$ $\newline$ $-2m = -10$
Divide by $-2$ : Divide both sides by $-2$ to solve for $m$ . $-2m / -2 = -10 / -2$ $m = 5$
Check Solution: Check the solution by substituting $m$ back into the original equation. $\newline$ $\sqrt{5} = \sqrt{3(5) - 10}$ $\newline$ $\sqrt{5} = \sqrt{15 - 10}$ $\newline$ $\sqrt{5} = \sqrt{5}$ $\newline$ This confirms that $m = 5$ is a correct solution.