Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for bb.\newline(45b)=3b\sqrt{(-4 - 5b)} = \sqrt{-3b}\newlineb=b = _____

Full solution

Q. Solve for bb.\newline(45b)=3b\sqrt{(-4 - 5b)} = \sqrt{-3b}\newlineb=b = _____
  1. Square both sides: Square both sides of the equation to eliminate the square roots.\newline(45b)2=(3b)2(\sqrt{-4 - 5b})^2 = (\sqrt{-3b})^2\newline45b=3b-4 - 5b = -3b
  2. Move terms with bb: Move all terms containing bb to one side of the equation.\(\newline\)4=3b+5b-4 = -3b + 5b\(\newline\)4=2b-4 = 2b
  3. Divide by 22: Divide both sides by 22 to solve for bb.42=2b2\frac{-4}{2} = \frac{2b}{2}b=2b = -2

More problems from Solve radical equations