Question

Solve x^2=49, Where x is a real number.

Simplify your answer as much as possible.
If there is more than one solution, Separate them with commas.
If there is no solution, Click on "No solution".

Answer 1

The values of x is -7 and 7.

Explanation:

First, you have to make the equation equals to 0 :

x² = 49

x² - 49 = 0

Given that x² and 49 are perfect square of x and 7 so you have to apply (a + b)(a - b) = a² - b² :

x² - 49 = 0

(x + 7)(x - 7) = 0

Lastly, you have to solve it :

(x + 7)(x - 7) = 0

x + 7 = 0

x = -7

x - 7 = 0

x = 7