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Question
Solve the following equation by factorisation :
2x2 + ax – a2= 0
Solution
2x2 + ax – a2= 0
⇒ 2x2 + 2ax – ax – a2 = 0
⇒ 2x(x + a) –a(x + a) = 0
⇒ (x + a)(2x – a) = 0
Either x + a = 0,
then x = -a
or
2x – a = 0,
then 2x = a
⇒ x = `a/(2)`
Hence x = –a, `a/(2)`.
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