Question

What are the roots of the quadratic equation \( 2 x^{2}=32 \) ?

Answer 1

2x² = 32

2x² - 32 = 0

2(x² - 16) = 0

(x² - 4²) = 0

(x - 4)(x + 4) = 0

Either x + 4 = 0 or x - 4 = 0

x + 4 = 0 gives x = - 4

x - 4 = 0 gives x = 4

Hence roots of the quadratic equation are - 4 and 4.