# How do you solve x^2+25<10x using a sign chart?

Dec 14, 2016

The answer is $S = \left\{\emptyset\right\}$

#### Explanation:

Let's rewrite the equation as

${x}^{2} - 10 x + 25 < 0$

Let's factorise,

${\left(x - 5\right)}^{2} < 0$

But ${\left(x - 5\right)}^{2}$ is always $> 0 \forall x \in \mathbb{R}$

So, there is no solution

graph{x^2-10x+25 [-10, 10, -5, 5]}