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Solve for x in the equation 2x2 − 8 = 0.

April 27, 2026Mathematics

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Answer

x = \pm 2

Step-by-step solution

3 steps

Add 8 to both sides of the equation.
$2x^2 - 8 = 0$ $2x^2 = 8$
Divide both sides by 2.
$\frac{2x^2}{2} = \frac{8}{2}$ $x^2 = 4$
Take the square root of both sides.
Remember to include both positive and negative roots.
$\sqrt{x^2} = \pm\sqrt{4}$ $x = \pm 2$
The solutions are $x = 2$ and $x = -2$ .

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