Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

use the square root property to solve the equation. this equation has r…

Question

use the square root property to solve the equation. this equation has real number solutions.
$4x^2 - 8 = 0$
$x = \square$
(simplify your answer, including any radicals. use integers or fractions for any numbers in the expression. use a comma to separate answers as needed.)

Explanation:

Step1: Isolate the squared term

Add 8 to both sides:
$4x^2 = 8$

Step2: Solve for $x^2$

Divide by 4:
$x^2 = \frac{8}{4} = 2$

Step3: Apply square root property

Take square roots of both sides:
$x = \pm\sqrt{2}$

Answer:

$\sqrt{2}, -\sqrt{2}$