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

Square both sides: Square both sides of the equation to eliminate the square roots. (sqrt(–v))^2 = (sqrt(–6v − 10))^2 –v = –6v − 10Add 6v: Add 6v to both sides to start isolating the variable v. –v + 6v = –6v + 6v − 10 5v = −10Divide by 5: Divide both sides by 5 to solve for v. 5v / 5 = −10 / 5 v = −2

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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

View step-by-step help

Home

Math Problems

Precalculus

Solve radical equations

Full solution

Q. Solve for

v

\newline

\sqrt{\,-v} = \sqrt{\,-6v - 10}

\newline

v = \,\_\_\_\_

Square both sides: Square both sides of the equation to eliminate the square roots. $\newline$ $(\sqrt{-v})^2 = (\sqrt{-6v - 10})^2$ $\newline$ $-v = -6v - 10$
Add $6v$ : Add $6v$ to both sides to start isolating the variable $v$ . $\newline$ $-v + 6v = -6v + 6v - 10$ $\newline$ $5v = -10$
Divide by $5$ : Divide both sides by $5$ to solve for $v$ . $\frac{5v}{5} = \frac{-10}{5}$ $v = -2$