Which equation is true when x = 1/2 but not when x = -1/2? Select all that apply

To determine which equations are true when ( x = frac{1}{2} ) but not when ( x = -frac{1}{2} ), we need to evaluate each equation for both values of ( x ).

1. ( x^2 = 1 )

– For ( x = frac{1}{2} ): ( left(frac{1}{2}right)^2 = frac{1}{4} neq 1 )

– For ( x = -frac{1}{2} ): ( left(-frac{1}{2}right)^2 = frac{1}{4} neq 1 )

– Not true for either.

2. ( x^2 = frac{1}{4} )

– For ( x = frac{1}{2} ): ( left(frac{1}{2}right)^2 = frac{1}{4} ) (True)

– For ( x = -frac{1}{2} ): ( left(-frac{1}{2}right)^2 = frac{1}{4} ) (True)

– Not valid as it’s true for both.

3. ( x^2 = frac{1}{8} )

– For ( x = frac{1}{2} ): ( left(frac