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Find the roots of the equation 10x² - 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 $\frac{3}{2}$

View answer & explanation

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 $\frac{3}{2}$

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