Amazing Quadratic - 2

Algebra Level 3

For q Z q \in Z , Find the number of integral roots of the equation x 2 + 7 x 14 ( q 2 + 1 ) = 0 { x }^{ 2 }+7x-14({ q }^{ 2 }+1)=0


The answer is 0.

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1 solution

Friends On
Dec 18, 2014

Since q belongs to Z , c will be a constant OR -14(q^2 + 1) = constant

using discriminant , no root will be integral Therefore ans = 0

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