Solve each equation by finding square roots. If the equation has no real-number solution, write no solution.

Question

64 b squared equals 16
Responses

b equals positive or negative one fourth

b equals positive or negative one half

b equals positive or negative one eighth

no solution

Answer 1

To solve for b, we can take the square root of both sides of the equation:

√(64b^2) = √16
8|b| = 4
|b| = 1/2

This gives us two possible solutions for b:
b = 1/2 or b = -1/2

Therefore, b equals positive or negative one half.