A free quadratic equation calculator that shows and explains each step in solving your quadratic equation.
What is a quadratic equation? A quadratic equation is any equation that can be written in the form: ax2
+ bx + c = 0. In this equation, x is unknown. A, b, and c are constants. A and b are called coefficients. It should be noted that a cannot be zero. Otherwise, the equation ceases to be a quadratic equation, and becomes a linear equation.
Calculating a solution to a quadratic equation may be intimidating. Fortunately, any quadratic equation can quickly be solved using the quadratic formula
. The quadratic formula is written:
Solving a quadratic equation will always result in 2 solutions for x. These solutions are called roots. These roots may both be real numbers or, they may both be complex numbers. Rarely, the two roots may equal each other, meaning there will only be one solution for x.
There are many uses for 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 this quadratic equation solver is useful to you. We hope the explanations showing how you can solve the equation yourself are educational and helpful. 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.