Chapter 4, Problem 14STP

To determine

To describe: The discriminant $b^2-4ac$ tells about the roots of the equation.

Answer to Problem 14STP

The description is given below.

Explanation of Solution

Given:

The given equation is:

  $y=a{x}^2+bx+c\dots \left(1\right)$

Case 1:

When $b^2-4ac>0$ ,

The quadratic equation have two real and distinct solution.

Case 2:

When $b^2-4ac=0$ ,

The quadratic equation have two real and equal solution.

Case 3:

When $b^2-4ac<0$ ,

The quadratic equation has no solution.

Therefore the description is given above.