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Discriminant Formula

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 Discriminant Formula in the quadratic equation ax2 + bx + c is,

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Discriminant Problems

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Some solved problems on discriminant are given below:

Solved Examples

Question 1: What is the discriminant of the equation x2 - 5x + 4?
Solution:
 
In the equation, a = 1 ; b = -5 ; c = 4
The formula for discriminant is,
Δ = b2 - 4ac
Δ = (-5)2 - 4(1)(4)
Δ = 25 - 16
Δ = 9


 

Question 2: What is the discriminant of the equation x2 - 6x + 5?
Solution:
 
In the equation, a = 1 ; b = -6 ; c = 5
The formula for discriminant is,
Δ = b2 - 4ac
Δ = (-6)2 - 4(1)(5)
Δ = 36 - 20
Δ = 16


 

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