A free quadratic equation calculator that shows and explains each step in solving your quadratic equation.
A quadratic equation is any equation ax2
+ bx + c = 0. In this equation, a, b, and c are constants. X is unknown. A and b are called coefficients. Interestingly, a cannot equal zero in the equation ax2
+bx+c=0. If a is 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 a few more steps. However, any quadratic equation can readily be solved using the quadratic formula
. 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. Under extraordinary circumstances, both roots may equal each other, producing one solution for x.
Quadratic equations are an important part of mathematics. Quadratic equations are needed to find answers in many real-world fields, including physics, biology and architecture.
The term "quadratic" comes from the Latin word quadratum,
which means "square." Why? Because what defines a quadratic equation is the inclusion of some variable squared. In our equation above, the term x2
(x squared) is what makes this equation quadratic.
We this quadratic equation solver is useful to you. 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.