X2 = 49what's the answer

Question

`x2 = 49`what's the answer

Answer 1

Solve the equation:

`x^2=49`

The simplest method to solve the equation is to apply the square root on both sides of the equation:

`√(x^2)=√(49)`

Since the square and the square root are inverse functions, they cancel out, leaving us with the equation:

`x=√(49)`

We must find a number such that its square results in 49. That number is 7. But we must recall that there is another number that produces 49 when squared. That number is -7.

This gives us two solutions. It can be written:

`x=\pm7`

The equation has two solutions:

x = 7, x = -7