If `ax^2 + bx + c = 0 and bx^2 + cx+a= 0` have a common root and `a!=0` then `(a^3+b^3+c^3)/(ab...

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If the Quadratic equation ax^2+bx+c=0 & bx^2+cx+a=0 have common root,then prove that a+b+c=0 //a=b=c If the Quadratic equation ax^2+bx+c=0 & bx^2+cx+a=0 have common root,then prove that a+b+c=0 //a=b=c
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If the quadratic equations ax²+2bx+c =0 and ax²+2cx+b=0 have a common root,then show that a+4b+4c=0. If the quadratic equations ax²+2bx+c =0 and ax²+2cx+b=0 have a common root,then show that a+4b+4c=0.
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If x^2 + b x + c a = 0 & x^2 + c x + a b = 0; a≠0, b≠c have a common root; prove that their other If x^2 + b x + c a = 0 & x^2 + c x + a b = 0; a≠0, b≠c have a common root; prove that their other