SOLUTION: For what value of c will the equation {{{x^2+12x+c=0}}} have one distinct solution?

Question 135529: For what value of c will the equation have one distinct solution?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
The equation will have one distinct solution if the discriminant equals zero. In other words, when .

Notice how a=1, b=12, and c=c

Start with the given equation

Plug in a=1 and b=12

Square and multiply

Subtract 144 from both sides

Combine like terms on the right side

Divide both sides by -4 to isolate c

Divide

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Answer:
So our answer is

So the equation will have one distinct solution

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