# If the roots of the equation $a{x}^{2}+2bx+c=0$ be alpha and beta and those of the equation $A{x}^{2}+2Bx+C=0$ be alpha+delta and beta+delta prove that, $\frac{{b}^{2}-ac}{{a}^{2}}=\frac{{B}^{2}-AC}{{A}^{2}}$

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