A free quadratic equation calculator that shows and explains each step in solving your quadratic equation.
A quadratic equation is an equation that has the form:
+ bx + c = 0,
where x is an unknown. A, b, and c are constants. A and b are referred to as coefficients. Furthermore, it should be noted that a cannot be equal to 0.
Calculating a solution to a quadratic equation may seem daunting. Fortunately, you have this handy-dandy quadratic equation solver. Acutally, quadratic equations can be readily solved using the quadratic formula
, which is the same technique used by this quadratic equation solver. Try it, and it will explain each of the steps to you. 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. Under extraordinary circumstances, the two roots may equal each other, producing one solution for x.
Why do we need to be able to solve quadratic equations? Quadratic equations are needed to find answers to many real-world problems. For example, to compute whether a braking car can stop fast enough to avoid hitting something would require the use of s quadratic equation.
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 plug in different values for a, b, and c. 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.