Q. 204.8( 5 Votes )

# Solve the following quadratic equations by factorization:

Answer :

In factorization, we write the middle term of the quadratic equation either as a sum of two numbers or difference of two numbers such that the equation can be factorized.

⇒ 2x^{2} + 2ax – ax – a^{2} = 0

⇒ 2x(x + a) – a(x + a) = 0

⇒ (2x – a)(x + a) = 0

⇒ x = a/2, -a

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