Only The Radical Part Is Important

Algebra Level 2

Find the value of q q such that the quadratic equation q 2 x 2 − q x + 1 = 0 q^2 x^2 - qx+ 1 = 0 has at least one real solution (for x x ).

1 It is not possible 3 2

Chung Kevin by Chung Kevin , 45, Australia

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1 solution

Johnny Jillky
Mar 20, 2016

Using completing the square in all three cases, one will find that one needs to take the square root of negative numbers, taking one to the realm of imaginary numbers.

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