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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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