Hence, the required solution of the quadratic equation 2 x 2 + 8 x + 3 0 is x ± 5 2 2. Consider the quadratic equation, a x 2 + b x + c 0, a 0. Our calculator provides immediate solutions, allowing users to quickly move on to other tasks or verify their manual calculations without delay. Steps to Solve Quadratic Equation by Completing the Square Method. We've developed a simple and intuitive interface that even those new to quadratic equations can easily navigate. Question 5: What is the formula for solving quadratic equation Answer: The general quadratic equation formula is ax2 + bx + c. Whether your equation has real or complex roots, our tool delivers the correct solution. Our calculator is equipped with advanced algorithms that ensure the results are accurate every time. Why Choose Our Quadratic Equation Calculator? If $$$b^2-4ac\lt0 $$$, the equation has two complex roots.If $$$b^2-4ac=0 $$$, there's one real root (a repeated root).If $$$b^2-4ac\gt0 $$$, the equation has two distinct real roots.The term inside the square root is called the discriminant. If you want to know how to master these three methods, just follow these steps. The quadratic formula is a universal method to find the roots or solutions of any quadratic equation. There are three main ways to solve quadratic equations: 1) to factor the quadratic equation if you can do so, 2) to use the quadratic formula, or 3) to complete the square. Depending on the values of $$$a $$$, $$$b $$$, and $$$c $$$, the parabola can open upwards or downwards and have its vertex anywhere in the coordinate plane. The graphical representation of a quadratic function is a parabola. It's essential that $$$a\ne0 $$$, otherwise, the equation will not be quadratic but linear.$$$x $$$ is the variable or the unknown we aim to find.It has the following form: $$ax^2+bx+c=0, $$ A quadratic equation can have one of three types of roots: two distinct real roots, one repeated real root, or two complex roots.Ī quadratic equation is a particular type of polynomial equation of the second degree. In a short moment, the calculator will show the roots. The calculator will quickly determine the solutions of the equation. How to Use the Quadratic Equation Calculator?Įnter the given quadratic equation and choose the method for solving it.Īfter entering the equation, click the "Calculate" button. Welcome to the ultimate online Quadratic Equation Calculator! Our tool helps you solve quadratic equations with ease, giving you the most accurate results using the quadratic formula.
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