![]() For D = 0 the roots are real and equal.For D > 0 the roots are real and distinct.The discriminant of the quadratic equation is D = b 2 - 4ac.The quadratic equation in its standard form is ax 2 + bx + c = 0.The following list of important formulas is helpful to solve quadratic equations. The corresponding quadratic equation is found by: Solution: It is given that α = 4 and β = -1. If α, β, are the roots of the quadratic equation, then the quadratic equation is as follows.Įxample: What is the quadratic equation whose roots are 4 and -1? The quadratic equation can also be formed for the given roots of the equation. Product of the Roots: αβ = c/a = Constant term/ Coefficient of x 2.Sum of the Roots: α + β = -b/a = - Coefficient of x/ Coefficient of x 2.For a quadratic equation ax 2 + bx + c = 0, the sum and product of the roots are as follows. The sum and product of the roots of a quadratic equation can be directly calculated from the equation, without actually finding the roots of the quadratic equation. ![]() The coefficient of x 2, x term, and the constant term of the quadratic equation ax 2 + bx + c = 0 are useful in determining the sum and product of the roots of the quadratic equation. Sum and Product of Roots of Quadratic Equation Now, check out the formulas to find the sum and the product of the roots of the equation.
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