Solve for g. sqrt –9g = sqrt ( –10g − 10) g = _____

Square Both Sides: Square both sides of the equation to eliminate the square roots. (sqrt(–9g))^2 = (sqrt(–10g − 10))^2 –9g = –10g − 10Add G Terms: Add 10g to both sides to get all the g terms on one side. –9g + 10g = –10g + 10g − 10 g = −10Check Solution: Check the solution by substituting g = −10 back into the original equation to ensure both sides are equal. sqrt(–9(−10)) = sqrt(–10(−10) − 10) sqrt(90) = sqrt(100 − 10) sqrt(90) = sqrt(90) Both sides are equal, so g = −10 is a valid solution.

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Solve for $g$ . $\newline$ $\sqrt{\,-9g} = \sqrt{(\,-10g - 10)}$ $\newline$ $g = \,\_\_\_\_$

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Q. Solve for

g

\newline

\sqrt{\,-9g} = \sqrt{(\,-10g - 10)}

\newline

g = \,\_\_\_\_

Square Both Sides: Square both sides of the equation to eliminate the square roots. $\newline$ $(\sqrt{-9g})^2 = (\sqrt{-10g - 10})^2$ $\newline$ $-9g = -10g - 10$
Add G Terms: Add $10g$ to both sides to get all the g terms on one side. $\newline$ $-9g + 10g = -10g + 10g - 10$ $\newline$ $g = -10$
Check Solution: Check the solution by substituting $g = -10$ back into the original equation to ensure both sides are equal. $\newline$ $\sqrt{-9(-10)} = \sqrt{-10(-10) - 10}$ $\newline$ $\sqrt{90} = \sqrt{100 - 10}$ $\newline$ $\sqrt{90} = \sqrt{90}$ $\newline$ Both sides are equal, so $g = -10$ is a valid solution.