Quite simple

Algebra Level 3

What is the sum of all possible solutions for x of the equation x ( x - k ) = k + 1?

k+1 0 1 2k-1 k

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1 solution

Arulx Z
Jul 14, 2015

Using vieta's, the sum of roots of quadratic of form a x 2 + b x + c a{ x }^{ 2 }+bx+c is b a -\frac { b }{ a }

Moderator note:

Simple standard approach.

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