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

You entered:

There are two real solutions: x = 1.2264870422407, and x = -0.87648704224065.

(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) \(x=--28\pm\frac{\sqrt{-28^2-4*80*-86}}{2*80}\)

which simplifies to:

(4) \(x=--28\pm\frac{\sqrt{784--27520}}{160}\)

\(x=\frac{--28+168.2379267585}{160}\) = 1.2264870422407,

and

\(x=\frac{--28-168.2379267585}{160}\) = -0.87648704224065,

Both of these solutions are real numbers.

These are the two solutions that will satisfy the quadratic equation

ax

\ In this equation, x is a variable which is not known, and a, b, and c are constants. The constants a and b are called coefficients. Additionally, it should be noted that a cannot equal to 0 in the equation ax

Finding a solution to a quadratic equation can seem challenging. 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:

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. Rarely, both roots may be the same, producing one solution for x.

Quadratic equations are more than just mathematical chores we have to endure. Quadratic equations are needed to calculate answers in many real-world fields, including physics, biology and business.

As mentioned above, in the equation ax

We hope you find this quadratic equation solver useful. We encourage you to plug in different values for a, b, and c. 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.

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