Find the roots of the equation 10x2 – 13x – 3 = 0
- x = \(\frac{3}{5}\) or -\(\frac{1}{2}\)
- x = \(\frac{3}{10}\) or -1
- x = \(\frac{3}{10}\) or 1
- x = \(\frac{1}{5}\) or \(\frac{-3}{2}\)
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x = -\(\frac{1}{5}\) or \(\frac{3}{2}\)
The correct answer is: E
Explanation
10x2 - 13x - 3 = 0 = 10x2 - 15x + 2x - 3 = 05x(2x - 3) + 2x - 3 = 0
= (5x + 1)(2x - 3) = 0
5x + 1 = 0 or 2x - 3 = 0
x = -\(\frac{1}{5}\) or \(\frac{3}{2}\)