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Question
Solve: 2x2 + ax – a2 = 0.
Sum
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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` or `x = a/2`
Hence, `-a` and `a/2` are the roots of the given equation.
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