lf a, b, c are in G.P., then the roots of the equation ax2+bx+c=0are in the ratio

Given, b2=acor ba2=caor −ba2=caor  (α+β)2=αβor   α2+β2+αβ=0or   αβ2+αβ+1=0or  αβ=−1±3i2( where i=−1)