Find the roots of the equation 10x2 - 13x - 3 = 0

A.

x = \(\frac{3}{5}\) or -\(\frac{1}{2}\)

B.

x = \(\frac{3}{10}\) or -1

C.

x = \(\frac{3}{10}\) or 1

D.

x = \(\frac{1}{5}\) or \(\frac{-3}{2}\)

E.

x = -\(\frac{1}{5}\) or \(\frac{3}{2}\)

Correct answer is E

10x2 - 13x - 3 = 0 = 10x2 - 15x + 2x - 3 = 0

5x(2x - 3) + 2x - 3 = 0

= (5x + 1)(2x - 3) = 0

5x + 1 = 0 or 2x - 3 = 0

x = -\(\frac{1}{5}\) or \(\frac{3}{2}\)