# How do you solve and graph x^2+25<10x?

Jan 2, 2017

There is no real solution,

#### Explanation:

To solve ${x}^{2} + 25 - 10 x < 0$, we find that:

${x}^{2} + 25 - 10 x = {\left(x \pm 5\right)}^{2} - \mathmr{and} + 10 x \to {\left(x - 5\right)}^{2} \ge 0$

So, there is no real solution.

I tried in vain to invoke a Socratic graph that could illustrate my

conclusion.