Quadratic equation calculator

Quadratic equation has the basic form:

a x^{2} + b x + c = 0

Enter the quadratic equation's coefficients a, b, and c of its basic standardized form. A solution of quadratic equations is usually two different real or complex roots or one double root — the calculation using the discriminant.

Calculation:

4 * x * x + 4 = 200 4 x^{2} - 196 = 0 4 = 2^{2} 0 = 0 196 = 2^{2} \cdot 7^{2} GCD (4, 0, 196) = 2^{2} = 4 x^{2} - 49 = 0 x_{1, 2} = \pm 49 = \pm 7 x_{1} = 7 x_{2} = - 7

Solution in text:

4x²-196=0 ... b=0; pure quadratic equation

Discriminant:
D = b² - 4ac = 3136
D > 0 ... The equation has two distinct real roots

x₁ = 7
x₂ = -7

P = {7; -7}