How do I get the answer for this quadratic equation in simplest form? 4( x - 7)^2 - 48 = 12 ​

Question

How do I get the answer for this quadratic equation in simplest form?


`4( x - 7)^2 - 48 = 12`
​

Answer 1

x = 7 ±
`√(15)`

Explanation:

Given

4(x - 7)² - 48 = 12 ( add 48 to both sides )

4(x - 7)² = 60 ( divide both sides by 4 )

(x - 7)² = 15 ( take the square root of both sides )

x - 7 = ±
`√(15)` ( add 7 to both sides )

x = 7 ±
`√(15)`