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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

Respuesta :

Answer:

C

Step-by-step explanation:

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

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

2x - 3 = ± [tex]\sqrt{16}[/tex] = ± 4 ( add 3 to both sides )

2x = 3 ± 4

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

x = - [tex]\frac{1}{2}[/tex] , x = [tex]\frac{7}{2}[/tex]

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