Question

What is the solutions to X2 equals 8​

Answer 1

The solutions to the equation x² = 8 are x = 2√2 and x = -2√2, representing the positive and negative square roots of 8.

Step-by-step explanation:

To find the solutions to the equation x² = 8, we need to take the square root of both sides of the equation. Doing so, we can solve for x, giving us two solutions because the square root of a number has both a positive and a negative value. Therefore, the solutions are x = √8 and x = -√8. Since √8 can be simplified to 2√2, the solutions are more precisely x = 2√2 and x = -2√2.

Whenever an equation contains an unknown squared, it typically has two solutions, a positive and a negative. However, in certain contexts, only one of those solutions may be sensible or fit the parameters of the problem.

Answer 2

x = ±2sqrt(2)

Step-by-step explanation:

x^2 = 8

Take the square root of each side

sqrt(x^2) = ±sqrt(8)

x = ±sqrt(4*2)

We know that sqrt(ab) = sqrt(a)sqrt(b)

x = ±sqrt(4)sqrt(2)

x = ±2sqrt(2)