Chapter 3.5, Problem 17AYU

$x^2-x+\text{ 1 }\le \text{ 0}$

To determine

To find: The solution of the inequality $x^2-x+1\le 0$.

Answer to Problem 17AYU

Solution:

No real solution set

Explanation of Solution

Given:

The inequality is $x^2-x+1\le 0$

Calculation:

$x^2-x+1\le 0$

Since the discriminant value is:

$b^2-4ac={\left(-1\right)}^2-4\left(1\right)\left(1\right)=1-4=3<0$

therefore, the given inequality has no real solutions.