![]() ![]() That is because two positive numbers multiplied together results in a positive number, but two negative numbers multiplied together also results in a positive number.įor example, the square root of 9 is plus or minus 3, because 3 x 3 = 9 and -3 x -3 = 9 as well. However, whenever one takes the square root of a positive value, there are always two possible answers, a positive answer and a negative answer. During the derivation, one must take the square root in order to isolate x (recall √x² = x). When y = 0 in a quadratic equation, deriving the solution for x results in the quadratic formula. Therefore, x = 1 Further, as D = 0, the roots are real and equal.X = \frac = -2 Why Are There Two Solutions to the Quadratic Equation? ![]() Solve the quadratic equation 2x 2 - 4x + 2 = 0 verify it using the quadratic equation calculator. Further, as D > 0 the roots are real and distinct. Therefore, the roots of the given quadratic equation are -2, -3. Solve the quadratic equation x 2 + 5x + 6 = 0 and verify it using the quadratic equation calculator. With Cuemath, find solutions in simple and easy steps.īook a Free Trial Class Solved Examples on Quadratic Equation Calculator Use our free online calculator to solve challenging questions. ![]() D D > 0, the roots of the quadratic equation are real and distinct.This is part of the quadratic formula and is given as follows: We can find the nature of the roots by analyzing the discriminant (D). If the quadratic equation is given as ax 2 + bx + c = 0, then the quadratic formula is given by: Further, various important inferences can also be drawn, regarding the nature of the roots by applying this formula. Out of these, the quickest method to find the roots of the given quadratic equation is by using the quadratic formula. These are completing the square method, factorizing the quadratic equation, using the quadratic formula, and the graphing technique. There are 4 methods to find the roots of a quadratic equation. When we solve a quadratic equation we get two values of x. How Does the Quadratic Equation Calculator Work? Step 4: Click on the "Reset" button to clear the fields and enter new values.Step 3: Click on the "Calculate" button to solve the given quadratic equation.Step 2: Enter the values in the given input boxes of the quadratic equation calculator.Step 1: Use Cuemath's online quadratic equation calculator.Please follow the steps below to solve the quadratic equation using the quadratic equation calculator. How to Use Quadratic Equation Calculator? NOTE: Enter values upto two digits only and the coefficient of x 2 should not be zero. To use the quadratic equation calculator, enter the values in the input boxes. Here, x is the variable, a and b are coefficients and c is the constant. The standard form of a quadratic equation is given by ax 2 + bx + c = 0. Quadratic Equation Calculator is an online tool that helps to solve the given quadratic equation and find its roots. A quadratic equation is an algebraic equation in one variable and the degree of the equation is 2. Quadratic Equation Calculator is used to determine the roots of a given quadratic equation. ![]()
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