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# Factoring Quadratic Equations Calculator

A quadratic equation is a polynomial equation of the second degree. The general form is ax2 + bx + c = 0, where a ≠ 0. For factoring quadratic equations, you have to find two numbers that will not only multiply to equal the constant term 'c', but also add up to equal 'b', the coefficient on the x-term. Use this factoring quadratic equations calculator to find the real and imaginary roots of the factoring equation. Enter the values of a, b and c in the calculator to find the roots.

x2+
x+
=0

A quadratic equation is a polynomial equation of the second degree. The general form is ax2 + bx + c = 0, where a ≠ 0. For factoring quadratic equations, you have to find two numbers that will not only multiply to equal the constant term 'c', but also add up to equal 'b', the coefficient on the x-term. Use this factoring quadratic equations calculator to find the real and imaginary roots of the factoring equation. Enter the values of a, b and c in the calculator to find the roots.

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#### Formula:

x = (- b ±√ b2 - 4 * a * c) / 2 * a Where, a = coefficient of x2 b = coefficient of x c = constant

### Example:

Let us consider a Quadratic equation : 2x^2 + 3x + 5 = 0

#### Solution

x = - 3 ±√(32 - 4 x 2 x 5) / 2 x 2
= -3 ± √(9 - 4 x 2 x 5) / 4
= -3 ± √(9 - 40) / 4
= -3 ± √ (-31) / 4
= -3 ± √(-7.75)
= -3 ± (-2.783)
= -3 - 2.783, -3 + 2.783
Therefore, the roots are complex
x1 = -0.75 + 1.39194 i
x2 = -0.75 - 1.39194 i