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Find the roots of the equation 10×2 – 13x – 3 = 0

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: Option E

Explanation

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})