A free quadratic equation calculator that shows and explains each step in solving your quadratic equation.
A quadratic equation is any equation that can be written in the form: ax2
+ bx + c = 0. In this equation, a, b, and c are constants. X is unknown. The constants a and b are called coefficients. Interestingly, a cannot equal zero.
Calculating a solution to a quadratic equation may appear challenging. Fortunately, any quadratic equation can quickly be solved using the quadratic formula
. The quadratic formula is:
Since there are always 2 solutions to a square root (one negative, one positive), solving the quadratic equation results in 2 values for x. The two solutions for x (which may be positive or negative, real or complex) are called roots. Depending on the values of a, b, and c, these two roots may equal each other, producing one solution for x.
Why do we care about qudratic equations? Quadratic equations are needed to compute answers in many real-world fields, including physics, pharmacokinetics and architecture.
As mentioned above, in the equation ax2
+bx+c=0, a cannot be zero. If a were 0, then ax2
= 0 for any value of x, so our equation becomes 0 + bx + c = 0, which is the same as bx + c = 0, which is no longer a quadratic equation. In fact, bx + c = 0 is a linear equation, which is much simpler to solve than a quadratic equation.
We hope you find this quadratic equation solver useful. We encourage you to try it with different values, and to read the explanation for how to reach your answer. But, if you just want to use it to calculate the answers to your quadratic equations, that's cool too. Thank you for using Quadratic-Equation-Calculator.com.
for a random example of a quadratic equation.