Question

16

Solve the equation using the method of completing the square.
2:2 + 165 - 8 = 0
O A x = -2 ± 455
B. x= 2 + 416
C. x = -4 + 25
D.x = 4 + 2/5
​

Answer 1

C

Explanation:

Problem:
`2x^(2) + 16x - 8 = 0`

`2(x^(2) + 8 x) = 8\\(x^(2) + 8 x) = 4\\(x+4)^(2) = 4 + 16\\x =-4`±
`√(20)`

`-4`±
`√(20) =-4`±
`2√(5)`