Question

The solution of (2x – 1)² = 9 is equal to

Options

• – 1

• 2

• – 1, 2

• None of these

Answer 1

– 1, 2

Explanation;

Hint:

(2x – 1)² = 9 ⇒ (2x – 1) = ${\displaystyle \sqrt{9}}$

2x – 1 = ± 3 ⇒ 2x – 1 = 3 or 2x – 1 = 3

2x – 1 = 3

2x = 4 ⇒ x = ${\displaystyle \frac{4}{2}}$ = 2

2x – 1 = – 3 ⇒ 2x = – 3 + 1

x = – 1