A free quadratic equation calculator that shows and explains each step in solving your quadratic equation.
What is a quadratic equation? Any equation that can be written in the form: ax2
+ bx + c = 0. In this equation, x is an unknown, and a, b, and c are constants. A and b are called coefficients. Further, a cannot be equal to zero in the equation ax2
+bx+c=0. If a equals 0, then ax2
=0, and the equation becomes 0+bx+c=0, or bx+c=0. The equation bx+c=0 is a linear equation, and not a quadratic equation.
Compared to solving a linear equation, solving a quadratic equation requires some more advanced mathematics.. Fortunately, there are a number of methods for solving quadratic equations. One of the most widely used is the quadratic formula
. Here is the quadratic formula:
When you compute a solution to a quadratic equation, you will always find 2 values for x, called "roots". These roots may both be real numbers or, they may both be complex numbers. Under extraordinary circumstances, the two roots may have the same value, resulting in one solution for x.
Quadratic equations are important. Quadratic equations are needed to find answers to many real-world problems. For example, to compute the path of an accelerating object 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 this quadratic equation calculator is useful to you. We hope the explanations showing how you can solve the equation yourself are educational and helpful. 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.