Question

Solve the equation using square roots. x^2 – 14 = –10

Answer 1

x^2 - 14 = -10
x^2 = -10 + 14
x^2 = 4....take the square root of both sides, eliminating the ^2
x = (+-) sqrt 4
x = 2 and x = -2

Answer 2

`x=\pm2`

Explanation:

The given equation is

`x^2-14=-10`

Add 14 to both sides of the equation.

`x^2=-10+14\\\\x^2=4`

Now, take square root both sides. Whenever, we take square root both sides, we include plus minus sign

`√(x^2)=\pm√(4)`

On simplifying, we get

`x=\pm2`