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

Square Both Sides: sqrt(3 − 5s) = sqrt(−8s) Square both sides of the equation to eliminate the square roots. (sqrt(3 − 5s))^2 = (sqrt(−8s))^2 3 − 5s = −8sIsolate Variable: We found 3 − 5s = −8s Isolate the variable on one side of the equation to solve for s. Add 5s to both sides of the equation. 3 − 5s + 5s = −8s + 5s 3 = −3sDivide and Solve: We found 3 = −3s Divide both sides by -3 to solve for s. 3 / (−3) = (−3s) / (−3) s = −1

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for $s$ . $\newline$ $\sqrt{3 - 5s} = \sqrt{-8s}$ $\newline$ $s =$ _____

View step-by-step help

Home

Math Problems

Precalculus

Solve radical equations

Full solution

Q. Solve for

s

\newline

\sqrt{3 - 5s} = \sqrt{-8s}

\newline

s =

_____

Square Both Sides: $\sqrt{3 − 5s} = \sqrt{−8s}$ $\newline$ Square both sides of the equation to eliminate the square roots. $\newline$ $(\sqrt{3 − 5s})^2 = (\sqrt{−8s})^2$ $\newline$ $3 − 5s = −8s$
Isolate Variable: We found $3 - 5s = -8s$
Isolate the variable on one side of the equation to solve for $s$ .
Add $5s$ to both sides of the equation.
$3 - 5s + 5s = -8s + 5s$
$3 = -3s$
Divide and Solve: We found $3 = -3s$
Divide both sides by $-3$ to solve for $s$ .
$\frac{3}{(-3)} = \frac{(-3s)}{(-3)}$
$s = -1$