Question

The solution set for the quadratic equation 2x² = 288, is ______.

Options

• {12, 12}

• {–12, –12}

• {–12, 18}

• {–12, 12}

Answer 1

The solution set for the quadratic equation 2x² = 288, is {–12, 12}.

Explanation:

Given,

2x² = 288

⇒ 2x² = 288

⇒ `x^2 = 288/2`

⇒ x² = 144

⇒ `x = sqrt(144)`

⇒ x = ±12

⇒ x = 12 or x = –12

The solution set = {–12, 12}.