To see how the Quadraric Formula is derived, click here

Quadratic Equation Calculator

Input MUST have the format:
AX2 + BX + C = 0
EXAMPLE: input the equation
2X2 + 4X -30 = 0 as:
A= 2 B= 4 C= -30

click E N T E R and your answers should be 3 and -5.

A= B= C=
Here's the answer in fractional form: Other Information

If you need to find out how to determine the quadratic formula or if you want to know about “completing the square”, then click here:

Deriving The Quadratic Formula

If you need to know how to calculate the vertex, focus or directrix of a quadratic equation, then click here:

Calculating the Vertex, Focus and Directrix.

To form a quadratic equation when you are given the vertex, focus or directrix, click here:

Calculating a Quadratic Equation from the Vertex, Focus or Directrix.

Numbers are displayed in scientific notation in the amount of significant figures you specify. For easier readability, numbers between 1,000 and -1,000 will not be in scientific notation but will still have the same precision.
You may change the number of significant figures displayed by changing the number in the box above.
Most browsers, will display the answers properly but if you are seeing no answers at all, enter a zero in the box above, which will eliminate all formatting but at least you will see the answers.