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Question

Mathematics Question on Quadratic Equations

If one root of the quadratic equation a(bc)x2+b(ca)x+c(ab)=0a(b-c)x^2+b(c-a)x+c(a-b)=0 is 1, then the other root is

A

b(ca)a(bc)\frac{b(c-a)}{a(b-c)}

B

a(bc)c(ab)\frac{a(b-c)}{c(a-b)}

C

a(bc)b(ca)\frac{a(b-c)}{b(c-a)}

D

c(ab)a(bc)\frac{c(a-b)}{a(b-c)}

Answer

c(ab)a(bc)\frac{c(a-b)}{a(b-c)}

Explanation

Solution

The correct option is (D): c(ab)a(bc)\frac{c(a-b)}{a(b-c)}