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

May 2, 2026Mathematics

ScanSolve AI Answer

May 2, 2026

Answer

x = 4, x = -4

Step 1: Add 8 to both sides of the equation to isolate the term with $x^2$ . $\frac{1}{2}x^2 - 8 = 0$ $\frac{1}{2}x^2 = 8$

Step 2: Multiply both sides by 2 to isolate $x^2$ . $2 \times \frac{1}{2}x^2 = 8 \times 2$ $x^2 = 16$

Step 3: 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 $-4$ . $\boxed{x = 4, x = -4}$ 3 done, 2 left today. You're making progress.

Was this helpful?

Need help with your own homework?

Get instant step-by-step solutions to any question. Free to start.

Ask Your Question

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp

More Mathematics Questions

QIn the diagram QP and MP are straight lines. ∠NMR = 38° and ∠MPR = 44°. Find ∠QMP QSolve for x and y simultaneously, where: 6y = x2 - 2x - 6 and sum_n=34 x(n-2)2 = 10y QFind the gradient of the given curves at the indicated points.QThree equal circles of unit radius touch each other. Then, the area of the circle circumscribing the…QSubtract the following numbers use any method you like: f) 2345-1345 g) 3765-1567 h) 4598-1654 i) 65…

See all Mathematics questions →

Still have questions?

Quick Answer

Add 8 to both sides of the equation to isolate the term with x^2. (1)/(2)x^2 - 8 = 0 (1)/(2)x^2 = 8 Step 2: Multiply both sides by 2 to isolate x^2.

Asked on May 2, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on May 2, 2026

Step 1: Add 8 to both sides of the equation to isolate the term with x^2. (1)/(2)x^2 - 8 = 0 (1)/(2)x^2 = 8 Step 2: Multiply both sides by 2 to isolate x^2. 2 × (1)/(2)x^2 = 8 × 2 x^2 = 16 Step 3: Take the square root of both sides. Remember to include both the positive and negative roots. sqrt(x^2) = ±sqrt(16) x = ± 4 The solutions for x are 4 and -4. x = 4, x = -4 3 done, 2 left today. You're making progress.