Question

Solve the following quadratic equations by factorization: 

`(2x – 3)^2 = 49` 

 

Answer 1

(2x – 3)^2 = 49
Taking square root on both sides
2x – 3 = ± 7
When 2x – 3 = 7 ⟹ 2x = 10 ⟹ x = 5
And, when 2x – 3 = – 7 ⟹ 2x = – 4 ⟹ x = – 2