An algebra problem by Aditya Gaur
Algebra
Level
2
What is the sum of all possible solutions for x of the equation x ( x - k ) = k + 1?
(A) 0
(B) 1
(C) k
(D) k + 1 ( E) 2k - 1
1
2k+1
0
k
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1 solution
Sum of all possible solution=sum of roots in quadratic equation x(x-k)=k-1. This eqn can be written as x^2-kx-(k+1)=0 and sum of roots is -(-k)/1=k=answer