SOLUTION: p^2-6p+c=0 find the value of c so that the equation will have exactly one rational solution

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Question 731399: p^2-6p+c=0
find the value of c so that the equation will have exactly one rational solution
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Need trinomial on the left side to be a perfect square.
Look at the p term: -6p, if cut in half would be -3p. We would expect in the squaring process that we had -3p + -3p, suggesting constant term of -3 in the binomial. %28p-3%29%28p-3%29=p%5E2-6p%2B9, so c=9.