Solve for c. sqrt ( 9 + 7c) = sqrt 8c c = _____

Square Both Sides: Square both sides of the equation to eliminate the square roots. (sqrt(9 + 7c))^2 = (sqrt(8c))^2 9 + 7c = 8cSubtract to Isolate: Subtract 7c from both sides to isolate the variable c on one side. 9 + 7c - 7c = 8c - 7c 9 = cCheck Solution: Check the solution by substituting c back into the original equation. sqrt(9 + 7*9) = sqrt(8*9) sqrt(9 + 63) = sqrt(72) sqrt(72) = sqrt(72) This confirms that the solution is correct.

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Solve for $c$ . $\newline$ $\sqrt{9 + 7c} = \sqrt{8c}$ $\newline$ $c =$ _____

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Q. Solve for

c

\newline

\sqrt{9 + 7c} = \sqrt{8c}

\newline

c =

_____

Square Both Sides: Square both sides of the equation to eliminate the square roots. $\newline$ $(\sqrt{9 + 7c})^2 = (\sqrt{8c})^2$ $\newline$ $9 + 7c = 8c$
Subtract to Isolate: Subtract $7c$ from both sides to isolate the variable $c$ on one side. $\newline$ $9 + 7c - 7c = 8c - 7c$ $\newline$ $9 = c$
Check Solution: Check the solution by substituting $c$ back into the original equation. $\newline$ $\sqrt{9 + 7\times 9} = \sqrt{8\times 9}$ $\newline$ $\sqrt{9 + 63} = \sqrt{72}$ $\newline$ $\sqrt{72} = \sqrt{72}$ $\newline$ This confirms that the solution is correct.