the roots of the equation 4x^2 + 8ax + 4a^2 = 0 are
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4x^2+8ax+4a^2=0
let us write,
by taking 4 as common,
4(x^2+a^2)+8ax=0
taking 4 as common again and send to R.H.S
(x^2+a^2)+2ax=0
so it is in form of (x+a)^2
hence,(x+a)^2=0
(x+a)(x+a)=0
hence roots are x=-a,-a
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