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 \(\frac{3}{2}\)
Verified Correct Answer: E.
Step-by-Step Mathematical Solution
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 \(\frac{3}{2}\)
Source: Myschool Past Questions Archive (Record #32613)