Question

Solve the following quadratic equation by factorization method

4x² – 7x – 2 = 0

Answer 1

4x² – 7x – 2 = 0

4x² – 8x + x – 2 = 0

4x(x – 2) + 1(x – 2) = 0

(x – 2) + (4x + 1) = 0

x – 2 = 0 or 4x + 1 = 0 ......(equate the product of factors to zero)

x = 2 or 4x = –1 ⇒ x = `(-1)/(4)`

The roots are 2; `(-1)/(4)`