Solve for k. sqrt –2k = sqrt ( 8k + 10) k = _____

Square both sides: Square both sides of the equation to eliminate the square roots. (sqrt(–2k))^2 = (sqrt(8k + 10))^2 –2k = 8k + 10Move terms involving k: Move all terms involving k to one side of the equation. –2k - 8k = 8k + 10 - 8k –10k = 10Divide by -10: Divide both sides by -10 to solve for k. k = 10 / -10 k = -1

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for $k$ . $\newline$ $\sqrt{-2k} = \sqrt{8k + 10}$ $\newline$ $k =$ _____

View step-by-step help

Home

Math Problems

Precalculus

Solve radical equations

Full solution

Q. Solve for

k

\newline

\sqrt{-2k} = \sqrt{8k + 10}

\newline

k =

_____

Square both sides: Square both sides of the equation to eliminate the square roots. $\newline$ $(\sqrt{-2k})^2 = (\sqrt{8k + 10})^2$ $\newline$ $-2k = 8k + 10$
Move terms involving $k$ : Move all terms involving $k$ to one side of the equation. $\,-2k - 8k = 8k + 10 - 8k$ $\,-10k = 10$
Divide by $-10$ : Divide both sides by $-10$ to solve for $k$ . $k = \frac{10}{-10}$ $k = -1$