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Mathematics

Solve :

2x2 + ax - a2 = 0

Quadratic Equations

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Answer

Given,

⇒ 2x2 + ax - a2 = 0

⇒ 2x2 + 2ax - ax - a2 = 0

⇒ 2x(x + a) - a(x + a) = 0

⇒ (2x - a)(x + a) = 0

⇒ (2x - a) = 0 or (x + a) = 0

⇒ x = a2\dfrac{a}{2} or x = -a

Hence, x = a2\dfrac{a}{2} or -a.

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