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Jan 20

To solve the equation -64x^2 + 100 = 0, we can start by subtracting 100 from both sides:

-64x^2 = -100

Next, we can divide both sides by -64 to isolate x^2:

x^2 = -100/-64

Simplifying the right side:

x^2 = 100/64

x^2 = 25/16

To solve for x, we can take the square root of both sides:

x = ±√(25/16)

x = ±(√25)/(√16)

x = ±(5/4)

Therefore, the solutions to the equation -64x^2 + 100 = 0 are x = 5/4 and x = -5/4.

-64x^2 = -100

Next, we can divide both sides by -64 to isolate x^2:

x^2 = -100/-64

Simplifying the right side:

x^2 = 100/64

x^2 = 25/16

To solve for x, we can take the square root of both sides:

x = ±√(25/16)

x = ±(√25)/(√16)

x = ±(5/4)

Therefore, the solutions to the equation -64x^2 + 100 = 0 are x = 5/4 and x = -5/4.

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