Answer:
see explanation
Step-by-step explanation:
Given
- 2(2x - 7)² = - 8 ( divide both sides by - 2 )
(2x - 7)² = 4 ( take the square root of both sides )
2x - 7 = ± [tex]\sqrt{4}[/tex] = ± 2 ( add 7 to both sides )
2x = 7 ± 2
2x = 7 - 2 = 5 or 2x = 7 + 2 = 9 ( divide both sides by 2 )
x = [tex]\frac{5}{2}[/tex]
x = [tex]\frac{9}{2}[/tex]