Question

Find the discriminant of the quadratic equation

Answer 1

Answer:

sqroot(b^2-4ac)

Step-by-step explanation:

where the eqn is in form ax^2+bx+c=0

Answer 2

Step-by-step explanation:

A quadratic equation in a variable x is an equation which is of the form ax² + bx + c = 0 where constants a, b and c are all real numbers and a ≠ 0.

In case of a quadratic equation ax^2 + bx + c = 0 the expression b^2 - 4ac is called the discriminant.

Let us consider a quadratic equation ax^2 + bx + c = 0, then nature of roots of quadratic equation depends upon Discriminant D = b^2 - 4ac of the quadratic equation.

If D = b^2 - 4ac > 0, then roots of the equation are real and unequal.

If D = b^2 - 4ac = 0, then roots of the equation are real and equal.

If D = b^2 - 4ac < 0, then roots of the equation are unreal or complex or imaginary.

Extra information:

There are three ways to solve a quadratic equation:

1. Factoring
2. Complete the Square
3. Quadratic Formula

Factoring uses the logic that the product of any number and zero is zero. Complete the square method uses square root, and the quadratic formula is the simpler method of it.

Quadratic formula x = -b ± √D/2a