Solve for u. sqrt –6u = sqrt ( –8u − 10) u = _____

Square both sides: Square both sides of the equation to eliminate the square roots. (sqrt(–6u))^2 = (sqrt(–8u − 10))^2 –6u = –8u − 10Add u terms: Add 8u to both sides to get all the u terms on one side. –6u + 8u = –8u + 8u − 10 2u = −10Divide by 2: Divide both sides by 2 to solve for u. 2u / 2 = −10 / 2 u = −5

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for $u$ . $\newline$ $\sqrt{\,-6u} = \sqrt{\,-8u - 10}$ $\newline$ $u = \,\_\_\_\_$

View step-by-step help

Home

Math Problems

Precalculus

Solve radical equations

Full solution

Q. Solve for

u

\newline

\sqrt{\,-6u} = \sqrt{\,-8u - 10}

\newline

u = \,\_\_\_\_

Square both sides: Square both sides of the equation to eliminate the square roots. $\newline$ $(\sqrt{-6u})^2 = (\sqrt{-8u - 10})^2$ $\newline$ $-6u = -8u - 10$
Add $u$ terms: Add $8u$ to both sides to get all the $u$ terms on one side. $\newline$ $-6u + 8u = -8u + 8u - 10$ $\newline$ $2u = -10$
Divide by $2$ : Divide both sides by $2$ to solve for $u$ . $\frac{2u}{2} = \frac{-10}{2}$ $u = -5$