Cool Quadratic

Algebra Level pending

If the quadratic equation

a(b-c)x^{2} + b(c-a)x + c(a-b)

has equal roots, then find the sum of it's roots.

Note: a,b,c are real numbers.


The answer is 2.

Shivam Hinduja by Shivam Hinduja , 21, India

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2 solutions

Vishesh Bansal
Jun 10, 2015

If in a quadratic equation sum of a,b and c is equal to 0 then its root is 1 . and it is given that it has equal roots so 1+1=2

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Shivam Hinduja
Dec 17, 2014

When x=1 the sum of the coefficients becomes 0.

So, the equation becomes x^{2} - 2x +1

So the sum of roots is 2

Note: Please notify me if there's any other solution to it.

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