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Solve the following quadratic equations by factorization:

$5 x 2 − 3 x − 2 = 0$

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1, − 15

1, − 25

2, 15

2, 75

answer is B.

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Detailed Solution

Given,

5 x 2 − 3 x − 2 = 0 ⇒ 5 x 2 − 5 x + 2 x − 2 = 0 ⇒ 5 x (x − 1) + 2 (x − 1) = 0 ⇒ (x − 1) (5 x + 2) = 0

⇒

x - 1 = 0

5 x + 2 = 0

⇒

x = 1

x = - \frac{2}{5}

Therefore, the roots of the equation

5 x 2 − 3 x − 2 = 0

are

x = 1

and

x = - \frac{2}{5}

.
So, the correct option is 2.

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