A free quadratic equation calculator that shows and explains each step in solving your quadratic equation.
A quadratic equation is an function that takes the form:
+ bx + c = 0.
\ In this equation, x is unknown, and a, b, and c are constants. The constants a and b are called coefficients. It is worth noting that a cannot be 0 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.
Solving a quadratic equation may appear daunting, because both x and x2
are unknown. However, there are a number of methods for solving quadratic equations. One of the most widely used is the quadratic formula
. The quadratic formula is written:
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, these two roots may be equal, resulting in one solution for x.
Quadratic equations are more than just mathematical chores we have to endure. Quadratic equations are needed to compute answers to many real-world problems. For example, to calculate the path of an accelerating object would require the use of s quadratic equation.
In our equation, a cannot be zero. However, b can be zero, and so can c.
We hope you find this quadratic equation solver useful. 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 your interest in Quadratic-Equation-Calculator.com.
for a random example of a quadratic equation.