Question

Find all real values of t that satisfy the equation t^2 = 324. If you find more than one, then list your values in increasing order, separated by commas.

Answer 1

-10, -8, 8, 10

Explanation:

The square root of 324 is 18, so either x^2 - 82 = 18 or x^2 - 82 = -18.

If x^2 - 82 = 18, then x^2 = 100, so x = 10 or x = -10. If x^2 - 82 = -18, then x^2 = 64$, so x = 8 or x = -8.

Therefore, the solutions are

Answer 2

t = -18, 18

Explanation:

Take the square root of both sides of the equation.

... t = ±√324 = ±18