A free quadratic equation calculator that shows and explains each step in solving your quadratic equation.

You entered:

There are two real solutions: x = 2.3121203192793, and x = 1.1693611622022.

(1)

For any quadratic equation

(2)

In the form above, you specified values for the variables a, b, and c. Plugging those values into Eqn. 1, we get:

(3) \(x=--94\pm\frac{\sqrt{-94^2-4*27*73}}{2*27}\)

which simplifies to:

(4) \(x=--94\pm\frac{\sqrt{8836-7884}}{54}\)

\(x=\frac{--94+30.854497241083}{54}\) = 2.3121203192793,

and

\(x=\frac{--94-30.854497241083}{54}\) = 1.1693611622022,

Both of these solutions are real numbers.

These are the two solutions that will satisfy the quadratic equation

ax

\ In this equation, x is an unknown, and a, b, and c are constants. The constants a and b, are referred to as coefficients. Furthermore, it is worth pointing out that a cannot equal to zero. If a is equal to 0, then ax

Solving a linear equation is relatively simple. Solving a quadratic equation requires more work. Fortunately, you have this handy-dandy quadratic equation calculator. All kidding aside, quadratic equations can be reliably solved using the quadratic formula, which is the same technique used by this quadratic equation calculator. Try it, and it will explain each of the steps to you. 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. Depending on the values of a, b, and c, these two roots may equal each other, meaning there will only be one solution for x.

Quadratic equations are more than just mathematical mumbo-jumbo Quadratic equations are needed to calculate answers to many real-world problems. The laws of motion is one example of an application of quadratic equations.

The quadratic equation calculator on this website uses the quadratic formula to solve your quadratic equations, and this is a reliable and relatively simple way to do it. But there are other ways to solve a quadratic equation, such as completing the square or factoring.

We this quadratic equation calculator 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 your interest in Quadratic-Equation-Calculator.com.

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