Question

Solve the following quadratic equation for all values of x in simplest form.

(x + 2)^2 – 46 = 24

Answer 1

x = - 2 ±
`√(70)`

Explanation:

(x + 2)² - 46 = 24 ( add 46 to both sides )

(x + 2)² = 70 ( take square root of both sides )

x + 2 = ±
`√(70)` ( subtract 2 from both sides )

x = - 2 ±
`√(70)`

then solutions are

x = - 2 -
`√(70)` , x = - 2 +
`√(70)`