Find all positive integer values of c such that the equation x^2 - 5x + c only has roots that are real and rational. Express them in decreasing order, separated by commas.

Guest Oct 12, 2020

#1**+1 **

Find all positive integer values of c such that the equation x^2 - 5x + c only has roots that are real and rational. Express them in decreasing order, separated by commas.

**Hello Guest!**

\(x^2 - 5x + c =0\)

p q

\(x=-\frac{p}{2}\pm \sqrt{(\frac{p}{2})^2-q}\)

\(x=2.5\pm \sqrt{6.25-c}\)

\(c\in \mathbb{N_0}\ |0\le c\le6\)

asinus Oct 12, 2020