Solve the equation 1×2/2 − 8 = 0

Here's the solution to the equation in your image. Solve the equation 1/2x² − 8 = 0 Step 1: Isolate the term with x² by adding 8 to both sides of the equation. 1/2x² − 8 = 0; 1/2x² = 8 Step 2: Multiply both sides by 2 to solve for x². x² = 8 × 2; x² = 16 Step 3: Take the square root of both sides. Remember to include both the positive and negative roots. x = ±√(16); x = ± 4; The solutions are x = 4 or x = −4.

Solve the equation 1×2/2 − 8 = 0

Here's the solution to the equation in your image. Solve the equation 1/2x² − 8 = 0 Step 1: Isolate the term with x² by adding 8 to both sides of the equation. 1/2x² − 8 = 0; 1/2x² = 8 Step 2: Multiply both sides by 2 to solve for x². x² = 8 × 2; x² = 16 Step 3: Take the square root of both sides. Remember to include both the positive and negative roots. x = ±√(16); x = ± 4; The solutions are x = 4 or x = −4.

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Solve the equation (1x2)/(2) − 8 = 0

July 26, 2026Mathematics

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Answer

x = 4 \text{ or } x = -4

Step-by-step solution

3 steps

Here's the solution to the equation in your image.

Solve the equation $\frac{1}{2}x^2 - 8 = 0$

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