Question

5. Why does the discriminant provide so much information about the solutions
to a quadratic equation?.

Answer 1

The discriminant is a number that can be calculated from any quadratic equation
A quadratic equation is an equation that can be written as
ax ² + bx + c where a ≠ 0
The discriminant in a quadratic equation is found by the following formula and the discriminant provides critical information regarding the nature of the roots/solutions of any quadratic equation.
discriminant= b² − 4ac

Example of the discriminant
Quadratic equation = y = 3x² + 9x + 5
The discriminant = 9 ² − 4 • 3 •5