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Solve the following quadratic equations by factorization:

$2 x 2 + a x − a 2 = 0$

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− a, − a 2

− a, a 2

− a, 2 a

a, a 2

answer is B.

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Detailed Solution

Given,

2 x 2 + a x − a 2 = 0 ⇒ 2 x + 2 a x − a x − a = 0 ⇒ 2 x (x + a) − a (x + a) = 0 ⇒ (x + a) (2 x − a) = 0 ⇒ x + a = 0 or 2 x − a = 0 ⇒ x = − a or 2 x = a ⇒ x = − a, a 2

Therefore, the roots of the quadratic equation

2 x 2 + a x − a 2 = 0

are -a and

\frac{a}{2}

.
Hence, the correct option is 2.

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