SOLUTION: find a single value of c so that the equation x squared + 5x + c = has no solutions

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Question 910231: find a single value of c so that the equation x squared + 5x + c = has no solutions
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2%2B5x%2Bc=what, you should equate this to something if you are looking for solutions or "no solutions".

Maybe you wanted, x%5E2%2B5x%2Bc=0 and are asking for what value c will this have no solutions? Why would this equation have no solutions?

x=%28-5%2B-+sqrt%285%5E2-4%2Ac%29%29%2F2
highlight%28x=%28-5%2B-+sqrt%2825-4c%29%29%2F2%29.
The equation will have either ONE or TWO solutions.

If you want the equation to have NO REAL SOLUTIONS, then the necessary condition is 25-4c%3C0, in which case, x will contain an imaginary number. You can solve this inequality for c.