A free quadratic equation calculator that shows and explains each step in solving your quadratic equation.
A quadratic equation is any equation
+ bx + c = 0,
where x is a variable which is not known, and a, b, and c are constants. The constants a and b, are referred to as coefficients. It should be noted that a cannot equal zero. Otherwise, the equation ceases to be a quadratic equation, and becomes a linear equation.
Finding a solution to a quadratic equation may seem daunting. However, there are a number of methods for solving quadratic equations. One of the most widely used is the quadratic formula
. This is the quadratic formula:
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. Rarely, both roots may be the same, meaning there will only be 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 calculator 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 your interest in Quadratic-Equation-Calculator.com.
for a random example of a quadratic equation.