Discriminant Calculator
Calculator and formula for calculating the discriminant of a quadratic equation
The result of this function is the discriminant of a quadratic equation.
To calculate, enter the values for a, b and c, then click on the 'Calculate' button.
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Formula for the discriminant
The discriminant is an expression that allows statements to be made about the number and type of solutions to an algebraic equation. Here the discriminant of a quadratic equation is calculated.
A quadratic equation \(\displaystyle ax^2+bx+c=0 \)is calculated using the following formula:
\(\displaystyle x_{1, 2} = \frac{-b ±\sqrt{b^2-4ac}}{2a} \)
The number of real solutions depends on the expression under the root, the discriminant.
\(\displaystyle D=b^2-4ac \)
- For D > 0 there are two different real solutions.
- For D = 0 there is a real solution.
- For D < 0 there are no real solutions, only two complex ones.
Mathematical Equations
Associative PropertyLinear equation
Quadratic equation
Cubic equation
Discriminant
Gauss elimination method
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