SOLUTION: Determine the value that will make the given equation have exactly one rational solution. Kx^2 - 10x = 5

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Question 114975: Determine the value that will make the given equation have exactly one rational solution.
Kx^2 - 10x = 5
Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
ax%5E2%2Bbx%2Bc=0 will have one root if and only if b%5E2-4ac=0

Here,
kx%5E2-10x=5
kx%5E2-10x-5=0
Here, a=k, b=-10, c=-5
Solving
b%5E2-4ac=0
%28-10%29%5E2-4k%28-5%29=0
100-%28-20k%29=0
100%2B20k=0
20k=-100
k=-5

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