Solve each equation by finding square roots. If the equation has no real-number solution, write no solution. (1 point) Responses Image with alt text: b equals positive or negative one fourth Image with alt text: b equals positive or negative one half Image with alt text: b equals positive or negative one eighth no solution
The equation "b equals positive or negative one fourth" can be written as b = ±1/4.
Taking the square root of both sides, we get √b = ±√(1/4).
Simplifying further, we get √b = ±1/2.
Therefore, the solutions to this equation are b = 1/2 or b = -1/2.
The equation "b equals positive or negative one half" can be written as b = ±1/2.
Taking the square root of both sides, we get √b = ±√(1/2).
Simplifying further, we get √b = ±√(1/2) * √(1/2).
This gives us √b = ±√(1/4).
Therefore, the solutions to this equation are b = 1/4 or b = -1/4.
The equation "b equals positive or negative one eighth" can be written as b = ±1/8.
Taking the square root of both sides, we get √b = ±√(1/8).
Simplifying further, we get √b = ±√(1/8) * √(1/8).
This gives us √b = ±√(1/64).
Simplifying even further, we get √b = ±1/8.
Therefore, the solutions to this equation are b = 1/64 or b = -1/64.
Hence, the solutions for each equation are:
1. b = 1/2 or b = -1/2
2. b = 1/4 or b = -1/4
3. b = 1/64 or b = -1/64