Calculator and formula for quadratic equation
As a result of the quadratic equation, this function returns the value of the unknown x for the coefficients a, b and c. A quadratic equation is an equation in which an unknown is raised to the second power.
For real numbers, the quadratic equation can have zero, one, or two solutions. If the expression under the root is negative, there is no solution; if it is zero, a solution exists; if it is positive, two solutions exist.
If no real solution exists, the result is given as a complex number.
To perform the calculation, enter the values for a, b and c, then click on the 'Calculate' button.
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\(\displaystyle ax^2+bx+c=0 \)
\(\displaystyle x_1 = \frac{-b +\sqrt{b^2-4ac}}{2a} \)
\(\displaystyle x_2 = \frac{-b -\sqrt{b^2-4ac}}{2a} \)
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