Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for rr.\newline(8r6)=2r\sqrt{(-8r - 6)} = \sqrt{-2r}\newliner=r = _____

Full solution

Q. Solve for rr.\newline(8r6)=2r\sqrt{(-8r - 6)} = \sqrt{-2r}\newliner=r = _____
  1. Square both sides: Square both sides of the equation to eliminate the square roots.\newline(8r6)2=(2r)2(\sqrt{-8r - 6})^2 = (\sqrt{-2r})^2\newline8r6=2r-8r - 6 = -2r
  2. Move terms with rr: Move all terms containing rr to one side of the equation.8r+2r=6\,-8r + 2r = 66r=6\,-6r = 6
  3. Divide by 6-6: Divide both sides by extendash66 to solve for rr. \newliner = \frac{6}{\textendash6}\newliner = \textendash1

More problems from Solve radical equations