Solve for p. sqrt ( –8p − 3) = sqrt –5p p = _____

Square both sides: Square both sides of the equation to eliminate the square roots. (sqrt(–8p − 3))^2 = (sqrt(–5p))^2 –8p − 3 = –5pAdd p terms: Add 8p to both sides to get all the p terms on one side. –8p + 8p − 3 = –5p + 8p −3 = 3pDivide by 3: Divide both sides by 3 to solve for p. −3 / 3 = 3p / 3 p = −1

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Solve for $p$ . $\newline$ $\sqrt{(-8p - 3)} = \sqrt{-5p}$ $\newline$ $p =$ _____

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Precalculus

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Q. Solve for

p

\newline

\sqrt{(-8p - 3)} = \sqrt{-5p}

\newline

p =

_____

Square both sides: Square both sides of the equation to eliminate the square roots. $\newline$ $(\sqrt{-8p - 3})^2 = (\sqrt{-5p})^2$ $\newline$ $-8p - 3 = -5p$
Add $p$ terms: Add $8p$ to both sides to get all the $p$ terms on one side. $\newline$ $−8p + 8p − 3 = −5p + 8p$ $\newline$ $−3 = 3p$
Divide by $3$ : Divide both sides by $3$ to solve for $p$ . $\frac{-3}{3} = \frac{3p}{3}$ $p = -1$