Solve for t. sqrt ( 9 + 8t) = sqrt 9t t = _____

Square both sides: Square both sides of the equation to eliminate the square roots. (sqrt(9 + 8t))^2 = (sqrt(9t))^2 9 + 8t = 9tSubtract 9t: Subtract 9t from both sides to get all terms with t on one side. 9 + 8t - 9t = 9t - 9t 9 - t = 0Add t: Add t to both sides to isolate the constant term. 9 = t

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

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Precalculus

Solve radical equations

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Q. Solve for

t

\newline

\sqrt{9 + 8t} = \sqrt{9t}

\newline

t =

_____

Square both sides: Square both sides of the equation to eliminate the square roots. $\newline$ $(\sqrt{9 + 8t})^2 = (\sqrt{9t})^2$ $\newline$ $9 + 8t = 9t$
Subtract $9t$ : Subtract $9t$ from both sides to get all terms with $t$ on one side. $\newline$ $9 + 8t - 9t = 9t - 9t$ $\newline$ $9 - t = 0$
Add $t$ : Add $t$ to both sides to isolate the constant term. $\newline$ $9 = t$