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Free quadratic equation calculator - Solve quadratic equations using factoring, complete the square and the quadratic formula step-by-step Many things follow the elegant path of a quadratic curve, such as balls, arrows and missiles. If a quadratic equation cannot be factorised then completing the square or quadratic formula must be used. A graphical solution will Sep 6, 2024 · A quadratic equation is a polynomial equation in a single variable where the highest exponent of the variable is 2. If a = 0, then the Free quadratic formula calculator - Solve quadratic equations using quadratic formula step-by-step The formula for a quadratic equation is used to find the roots of the equation. This quadratic formula calculator lets you calculate the discriminant and the roots or solutions for a quadratic equation. 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Input MUST have the format: AX 2 + BX + C = 0 EXAMPLE: input the equation 2X 2 + 4X -30 = 0 as: A= 2 B= 4 C= -30 click E N T E R and your answers should be 3 and -5. However, there are several methods of solving quadratic equations such as factoring, completing the square, graphing, etc. Instantly solve any quadratic equation with our free calculator. Whether the equation has real or complex roots, the tool delivers precise, instant results based on the quadratic formula. If the coefficient of x2 is negative the graph will take the form shown in Figure 1(b). Here, x is an Dec 6, 2024 · Are you looking for some quadratic formula examples that are solved step-by-step? If you need some help with using the quadratic formula equation to solve math problems, then this free tutorial will teach you everything you need to know. Solutions to problems that can be expressed in terms of quadratic equations were known as early as 2000 BC. 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Quadratic Equation Solver (Quadratic Formula) Introduction The following equation is a quadratic equation: a ⋅x2 +b ⋅ x+c = 0 a x 2 + b x + c = 0 a a, b b and c c are factors, x x is the unknown variable in this equation. To make solving quadratic equations even easier, you can use an online Quadratic Equation Solver. Identify a quadratic equation. Often, the simplest way to solve " ax2 + bx + c = 0 " for the value of x is to factor the quadratic, set each factor equal to zero, and then solve each factor Free Equation Solver helps you to calculate linear, quadratic and polynomial systems of equations. Whether you’re dealing with physics problems, calculating areas, or optimizing business operations, solving quadratic equations can be incredibly useful. This free quadratic formula calculator solves the quadratic formula given values for a, b, and c. " The value of A cannot equal zero, while zero Easily solve Quadratic equations of the form ax^2+bx+c=0 with step-by-step solutions using the Quadratic Formula. If you want to know how to master these three methods, just follow these steps. This web-based calculator is geared towards students, teachers, and even math lovers, solving quadratic equations in seconds with a few mouse clicks. Fill in the fields below with the coefficients and press the button to get the unknown x. The following calculator calculates the unknown variable x x with the factors a a, b b and c c as inputs The quadratic equation calculator accepts the coefficients a, b, and c of a quadratic equation in the standard form, and then calculates the roots of the equation, including complex roots. 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This calculator will solve your problems. A quadratic equation is a polynomial equation that contains the second degree, but no higher degree, of the variable. Purplemath When would I use the Quadratic Formula? You can use the Quadratic Formula any time you're trying to solve a quadratic equation — as long as that equation is in the form " (a quadratic expression) that is set equal to zero". Feb 3, 2025 · Quadratic equations might remind you of high school math classes and those seemingly endless sheets of algebra problems. Aug 1, 2025 · Uses the quadratic formula to solve a second-order polynomial equation or quadratic equation. ’ In this section, we will derive and use a formula to find the solution of a quadratic equation. 1 6. Calculate roots, graph parabolas, and analyze quadratic functions easily. Depending on the type of equation we have, some methods will be easier than others. 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Aug 1, 2025 · Uses the quadratic formula to solve a second-order polynomial equation or quadratic equation. Use our free quadratic equation calculator for quick results! The 3 ways to solve quadratic equations are factoring, completing the square or using the quadratic formula. A quadratic equation solver is an online algebra calculator that helps you solve equations of the form ax2 + bx + c = 0 where a,b,c are constants, a ≠ 0. It will find both the real and the imaginary (complex) roots. The calculator works the entered math problem using the quadratic formula. The calculator will tell you not only the answers but also how to find the discriminant and solve the quadratic equation using the quadratic formula. Utilize methods like the Quadratic Formula, Completing the Square, Factoring, and Graphing. In algebra, a quadratic equation is any equation that can be written in the following form: ax²+bx+c=0 where a≠0 To use the quadratic formula calculator, enter the values of A, B, and C into the corresponding fields and press "Calculate. The Quadratic Formula calculator is a free online tool that can find the roots of any given quadratic equation (real and complex) in a matter of seconds. The quadratic formula is a powerful tool for solving any quadratic equation. They are: Using Quadratic formula Factoring the quadratic equation Completing the square A quadratic equation is an equation that has the highest degree equal to two. If the quadratic has an 𝑥 2 coefficient of 1 then it might be possible to solve it by factorising in the following way: The quadratic formula is used to find the roots of a quadratic equation and these roots are called the solutions of the quadratic equation. 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