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:

122=32+92+u2 u2+54=0 u254=0 u1,2=±54=±7.348469228 u1=7.348469228 u2=7.348469228 

Solution in text:

-u2+54=0 ... b=0; pure quadratic equation

Discriminant:
D = b2 - 4ac = 216
D > 0 ... The equation has two distinct real roots

u1 = 7.3484692
u2 = -7.3484692

P = {7.3484692; -7.3484692}