Understanding the Disriminant

Question

Find the discriminant of the quadratic equation then state the number and type of solution - Explain and Show Work

Answer 1

For a quadratic equation of the form:

y = ax² + bx + c

The Quadratic Formula tells us that roots of the equation are:

x = -b/2a ± √(b²-4ac) /2a

The discriminant is the expression under the radical: b² - 4ac.

1. If the discriminant > 0 then there are two real roots to the quadratic equation
2. If the discriminant = 0, then there is only one root to the quadratic equation
3. If the discriminant < 0, then there are no real roots to the quadratic equation

You omitted the specific quadratic equation from your problem statement, but you can use the above information to complete the problem on your own.