A free quadratic equation calculator that shows and explains each step in solving your quadratic equation.
A quadratic equation is any function that has the form:
+ bx + c = 0,
where x is unknown. A, b, and c are constants. The constants a and b are called coefficients. Further, a cannot equal zero in the equation ax2
Compared to solving a linear equation, solving a quadratic equation is a more complicated task. Fortunately, you have this handy-dandy quadratic equation calculator. Acutally, quadratic equations can be quickly solved using the quadratic formula
, which is the same technique used by this quadratic equation calculator. Try it, and it will explain each of the steps to you. Here 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, the two roots may be equal, producing one solution for x.
Quadratic equations are more than just mathematical flights of fantasy Quadratic equations are needed to compute answers to many real-world problems. The distance before a vehicle can stop once you hit the brakes is one example of an application of quadratic equations.
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 this quadratic equation calculator is useful to you. We encourage you to plug in different values for a, b, and c. But we totally understand if you just want to use it to find the answers you're looking for. Thank you for your interest in Quadratic-Equation-Calculator.com.
for a random example of a quadratic equation.