Author 
Topic 

Haven
Senior Member
USA
28 Posts 
Posted  09/25/2008 : 08:52:23

The following information was given for the following problem: mx + nx + 16 = 0
In the quadratic equation above, m and n are nonzero numbers. If the equation has only one solution, which of the following is equal to m in terms of n?
The following answers given were:
(a) m = n/2
(b) m = n/4
(c) m = n/16
(d) m = n/16
(e) m = n/ 64
I need an explanation on how to solve this type of problem. Any assistance would be greatly appreciated. 


skeeter
Advanced Member
USA
5634 Posts 
Posted  09/25/2008 : 11:17:53

the general quadratic is ...
y = ax+bx+c
if y = 0, then x = [b [sqrt(b4ac)]/(2a)
further, if the quadratic equation has a single solution, then the discriminant, b4ac, equals 0.
in your problem ...
a = m b = n c = 16
work with that info.



Haven
Senior Member
USA
28 Posts 
Posted  09/25/2008 : 14:35:01

Thanks again Skeeter. I thought about the general equation but for some reason the "m' and "n" threw me for a curve. Thanks again for all your help. 



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