The **discriminant **is the value calculated from quadratic equation. The expression under the square root in the quadratic equation is known as the discriminant formula. The determinant is used to find out if the roots of the quadratic equation are real or imaginary.

The

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Some solved problems on discriminant are given below:

### Solved Examples

**Question 1: **What is the discriminant of the equation x^{2} - 5x + 4?

** Solution: **

In the equation, a = 1 ; b = -5 ; c = 4

The formula for discriminant is,

Δ = b^{2} - 4ac

Δ = (-5)^{2 }- 4(1)(4)

Δ = 25 - 16

Δ = 9

**Question 2: **What is the discriminant of the equation x^{2} - 6x + 5?

** Solution: **

In the equation, a = 1 ; b = -6 ; c = 5

The formula for discriminant is,

Δ = b^{2} - 4ac

Δ = (-6)^{2 }- 4(1)(5)

Δ = 36 - 20

Δ = 16

In the equation, a = 1 ; b = -5 ; c = 4

The formula for discriminant is,

Δ = b

Δ = (-5)

Δ = 25 - 16

Δ = 9

In the equation, a = 1 ; b = -6 ; c = 5

The formula for discriminant is,

Δ = b

Δ = (-6)

Δ = 36 - 20

Δ = 16