Quadratic equation calculator

Quadratic equation has the basic form: ax2+bx+c=0
eq2
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:

2x2=72 2x2−72=0 2 ...  prime number 0=0 72=23⋅32 GCD(2,0,72)=2=2  x2−36=0 x1,2​=±36​=±6 x1​=6 x2​=−6 

Solution in text:

2x2-72=0 ... b=0; pure quadratic equation

Discriminant:
D = b2 - 4ac = 576
D > 0 ... The equation has two distinct real roots

x1 = 6
x2 = -6

P = {6; -6}