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:

(- 2 y)^{2} + y^{2} - 2 * (- 2 y) - 4 y - 20 = 0 5 y^{2} - 20 = 0 5 . . . prime number 0 = 0 20 = 2^{2} \cdot 5 GCD (5, 0, 20) = 5 = 5 y^{2} - 4 = 0 y_{1, 2} = \pm 4 = \pm 2 y_{1} = 2 y_{2} = - 2

Solution in text:

5y²-20=0 ... b=0; pure quadratic equation

Discriminant:
D = b² - 4ac = 400
D > 0 ... The equation has two distinct real roots

y₁ = 2
y₂ = -2

P = {2; -2}