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Question
Solve the following quadratic equation by factorisation:
2x2 + ax - a2 = 0 where a ∈ R.
Solution
2x2 + ax - a2 = 0
⇒ 2x2 + 2ax - ax - a2 = 0
⇒ 2x(x + a) -a(x + a) = 0
⇒ (x = a) (2x - a) = 0
⇒ x + a = 0 or 2x - a = 0
⇒ x = -a and x = `a/(2)`.
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