Solve for t. sqrt ( 4 − t) = sqrt –3t t = _____

Square both sides: Square both sides of the equation to eliminate the square roots. (sqrt(4 − t))^2 = (sqrt(−3t))^2 4 − t = −3tAdd t terms: Add t to both sides to get all the t terms on one side. 4 − t + t = −3t + t 4 = −2tDivide by -2: Divide both sides by -2 to solve for t. 4 / -2 = −2t / -2 t = -2Check solution: Check the solution by substituting t back into the original equation to ensure both sides are equal. sqrt(4 − (-2)) = sqrt(−3(-2)) sqrt(6) = sqrt(6)

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Solve for $t$ . $\newline$ $\sqrt{4 - t} = \sqrt{-3t}$ $\newline$ $t =$ _____

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Q. Solve for

t

\newline

\sqrt{4 - t} = \sqrt{-3t}

\newline

t =

_____

Square both sides: Square both sides of the equation to eliminate the square roots. $\newline$ $(\sqrt{4 - t})^2 = (\sqrt{-3t})^2$ $\newline$ $4 - t = -3t$
Add $t$ terms: Add $t$ to both sides to get all the $t$ terms on one side. $\newline$ $4 - t + t = -3t + t$ $\newline$ $4 = -2t$
Divide by $-2$ : Divide both sides by $-2$ to solve for $t$ . $\frac{4}{-2} = \frac{−2t}{-2}$ $t = -2$
Check solution: Check the solution by substituting $t$ back into the original equation to ensure both sides are equal. $\newline$ $\sqrt{4 − (-2)} = \sqrt{−3(-2)}$ $\newline$ $\sqrt{6} = \sqrt{6}$