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Algebra Level 3

Find the product of all the values of m m for which the quadratic equation (in t t )

m 2 t 2 + 2 ( m + 1 ) t + 4 = 0 m^{2}t^{2}+2(m+1)t+4=0

has exactly one zero.


The answer is 0.

Aditya Khurmi by Aditya Khurmi , 18, India

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1 solution

Aditya Khurmi
Nov 2, 2017

Set m = 0 m=0 in the equation to get a linear equation, which obviously has only one root and hence the product is simply 0 \boxed{0} ! No need to look at the discriminant!

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