Chapter 4, Problem 18SGA

To determine

To find: The discriminant of $x^2-x+6=0$ and describe the nature of the roots of the equation. Then solve the equation by using the Quadratic Formula.

Answer to Problem 18SGA

No roots

Explanation of Solution

Given information: $x^2-x+6=0$

Calculation:

Given:

  $x^2-x+6=0$

Use $b^2-4ac$ formula and check the roots

  ${\left(-1\right)}^2-4\cdot 1\cdot 6=-23<0$

No real distinct roots