Answer:
To solve the equation 8x^2 = 18(32), we'll follow these steps:
1. Simplify the right side of the equation:
18(32) = 576
2. Rewrite the equation:
8x^2 = 576
3. Divide both sides of the equation by 8:
(8x^2) / 8 = 576 / 8
x^2 = 72
4. Take the square root of both sides of the equation:
√(x^2) = √72
x = ±√72
5. Simplify the square root of 72:
x ≈ ±8.48528
Therefore, the solutions to the equation 8x^2 = 18(32) are approximately x = 8.48528 and x = -8.48528.
