Solve for c. sqrt ( –9 + 5c) = sqrt 4c c = _____

Square both sides: Square both sides of the equation to eliminate the square roots. (sqrt(–9 + 5c))^2 = (sqrt(4c))^2 –9 + 5c = 4cSubtract to isolate variable: Subtract 4c from both sides to isolate the variable term on one side. –9 + 5c - 4c = 4c - 4c –9 + c = 0Add to solve for c: Add 9 to both sides to solve for c. –9 + 9 + c = 0 + 9 c = 9

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for $c$ . $\newline$ $\sqrt{\,-9 + 5c} = \sqrt{\,4c}$ $\newline$ $c = \,\_\_\_\_\_$

View step-by-step help

Home

Math Problems

Precalculus

Solve radical equations

Full solution

Q. Solve for

c

\newline

\sqrt{\,-9 + 5c} = \sqrt{\,4c}

\newline

c = \,\_\_\_\_\_

Square both sides: Square both sides of the equation to eliminate the square roots. $\newline$ $(\sqrt{-9 + 5c})^2 = (\sqrt{4c})^2$ $\newline$ $-9 + 5c = 4c$
Subtract to isolate variable: Subtract $4c$ from both sides to isolate the variable term on one side. $\newline$ $-9 + 5c - 4c = 4c - 4c$ $\newline$ $-9 + c = 0$
Add to solve for c: Add $9$ to both sides to solve for c. $\newline$ $-9 + 9 + c = 0 + 9$ $\newline$ $c = 9$