Which equation is true when x = 1/2 but not when x = -1/2? Select all that apply.
x² = 1
x² = 1/4
x² = 1/8
x³ = 1
x³ = 1/4
x³ = 1/8
Which equation is true when x = 1/2 but not when x = -1/2? Select all that apply
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Which equation is true when x = 1/2 but not when x = -1/2? Select all that apply.
x² = 1
x² = 1/4
x² = 1/8
x³ = 1
x³ = 1/4
x³ = 1/8
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