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Solve the equation (1)/(2)x2 − 8 = 0 for x.

May 2, 2026Mathematics

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Answer

x = 4, x = -4

Step-by-step solution

3 steps

Add 8 to both sides of the equation to isolate the term with $x^2$ .
$\frac{1}{2}x^2 - 8 = 0$ $\frac{1}{2}x^2 = 8$
Multiply both sides by 2 to isolate $x^2$ .
$2 \times \frac{1}{2}x^2 = 8 \times 2$ $x^2 = 16$
Take the square root of both sides.
Remember to include both the positive and negative roots.
$\sqrt{x^2} = \pm\sqrt{16}$ $x = \pm 4$
The solutions for $x$ are 4 and $-4$ .
$x = 4, x = -4$

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