Solve for h. sqrt ( –6h + 7) = sqrt h h = _____

Square both sides: Square both sides of the equation to eliminate the square roots. (sqrt(–6h + 7))^2 = (sqrt(h))^2 –6h + 7 = hIsolate variable h: Isolate the variable h on one side of the equation. Add 6h to both sides to move the terms involving h to one side. –6h + 7 + 6h = h + 6h 7 = 7hDivide by 7: Divide both sides by 7 to solve for h. 7 / 7 = 7h / 7 1 = h

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for $h$ . $\newline$ $\sqrt{(-6h + 7)} = \sqrt{h}$ $\newline$ $h =$ _____

View step-by-step help

Home

Math Problems

Precalculus

Solve radical equations

Full solution

Q. Solve for

h

\newline

\sqrt{(-6h + 7)} = \sqrt{h}

\newline

h =

_____

Square both sides: Square both sides of the equation to eliminate the square roots. $\newline$ $(\sqrt{-6h + 7})^2 = (\sqrt{h})^2$ $\newline$ $-6h + 7 = h$
Isolate variable $h$ : Isolate the variable $h$ on one side of the equation. $\newline$ Add $6h$ to both sides to move the terms involving $h$ to one side. $\newline$ $–6h + 7 + 6h = h + 6h$ $\newline$ $7 = 7h$
Divide by $7$ : Divide both sides by $7$ to solve for $h$ . $\frac{7}{7} = \frac{7h}{7}$ $1 = h$