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# If the square of the roots of the equation x^2 - 3ax + a^2 = 0, find a

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Re: If the square of the roots of the equation x^2 - 3ax + a^2 = 0, find a [#permalink]
let the roots of the equation be w and b
then
(w+b)^2 -2wb = 1.75

Sum of the roots = 3a
product of the roots = a^2

9a^2 -2a^2 = 1.75
=>7a^2=1.75
=>a^2=2.5 and a>0

therefore a=0.5
Hence IMO A
Re: If the square of the roots of the equation x^2 - 3ax + a^2 = 0, find a [#permalink]
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