If the roots of the equation (a2+b2)x2−2(ac+bd)x+(c2+d2)=0 are equal, then prove that ab=cd.

If the roots of the equation (a2+b2)x2−2(ac+bd)x+(c2+d2)=0 are equal

1.	If the roots of the equation (a2+b2)x2−2(ac+bd)x+(c2+d2)=0 are equal, then prove that ab=cd.
Answer» If the roots of the equation $(a^{2} + b^{2}) x^{2} - 2 (a c + b d) x + (c^{2} + d^{2}) = 0$ are equal, then prove that $\frac{a}{b} = \frac{c}{d}$ .

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If the roots of the equation (a2+b2)x2−2(ac+bd)x+(c2+d2)=0 are equal, then prove that ab=cd.

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