Question

Solve 2(2x – 3)2 = 32. Question 15 options: A) x = –7∕2; x = 1∕2 B) x = –1; x = 7 C) x = –1∕2; x = 7∕2 D) x = –7; x = 1

Answer 1

C

Explanation:

2(2x - 3)² = 32 ( divide both sides by 2 )

(2x - 3)² = 16 ( take square root of both sides )

2x - 3 = ±
`√(16)` = ± 4 ( add 3 to both sides )

2x = 3 ± 4

Then 2x = 3 - 4 = - 1 , 3 + 4 = 7 ( divide both sides by 2 )

x = -
`(1)/(2)` , x =
`(7)/(2)`