Factor quadratic equation calculator4/14/2024 ![]() Finding Roots of Quadratic Equation by Completing Square Substitute them in the quadratic formula and simplify.Įxample: Find the roots of quadratic equation x 2 - 7x + 10 = 0 using quadratic formula.Find a, b, and c values by comparing the given equation with ax 2 + bx + c = 0.Finding Roots of Quadratic Equation by Quadratic Formula Now, setting each factor to zero and solving, we get Set each of these factors to zero and solve.Įxample: Find the roots of the quadratic equation x 2 - 7x + 10 = 0 by factoring.īy factoring the quadratic expression, we get (x - 2) (x - 5) = 0.Finding Roots of Quadratic Equation by Factoring Note that, in each of these methods, the equation should be in the standard form ax 2 + bx + c = 0. Let us discuss each of these methods here by solving an example of finding the roots of the quadratic equation x 2 - 7x + 10 = 0 (which was mentioned in the previous section) in each case. ![]() To know about these methods in detail, click here. Along with this method, we have several other methods to find the roots of a quadratic equation. In the previous section, we have seen that the roots of a quadratic equation can be found using the quadratic formula. The process of finding the roots of the quadratic equations is known as "solving quadratic equations". How to Find the Roots of Quadratic Equation? This is known as the quadratic formula and it can be used to find any type of roots of a quadratic equation. when x = 5, 5 2 - 7(5) + 10 = 25 - 35 + 10 = 0.īut how to find the roots of a general quadratic equation ax 2 + bx + c = 0? Let us try to solve it for x by completing the square.i.e., when each of them is substituted in the given equation we get 0. For example, the roots of the quadratic equation x 2 - 7x + 10 = 0 are x = 2 and x = 5 because they satisfy the equation. They are also known as the "solutions" or "zeros" of the quadratic equation. The roots of a quadratic equation are the values of the variable that satisfy the equation.
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