Using the square root property to solve this 64x² - 121 = 0, the value of x is - 11 / 8 and 11 / 8.
64x² - 121 = 0
add 121 to both sides of the equation
64x² - 121 + 121 = 0 + 121
64x² = 121
divide each term by 64 and simplify
64x² / 64 = 121 / 64
x² = 121 / 64
Take the square root of both sides of the equation to eliminate the exponent on the left side
√x² = ±√ 121 / 64
Simplify the right side of the equation.
x = ± 11 / 8
Therefore,
x = 11 / 8, - 11 / 8
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