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Using the square root property to solve this 64x² - 121 = 0, the value of x is - 11 / 8 and 11 / 8.

How to solve quadratic equation using square root property?

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

learn more on square root property here: https://brainly.com/question/3506989

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