Question

What is the solution set of the quadratic equation - 2(2x-7)^2 = - 8​
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Answer 1

see explanation

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 = ±
`√(4)` = ± 2 ( add 7 to both sides )

2x = 7 ± 2

2x = 7 - 2 = 5 or 2x = 7 + 2 = 9 ( divide both sides by 2 )

x =
`(5)/(2)`

x =
`(9)/(2)`