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:

x2+97344=676x x2676x+97344=0  a=1;b=676;c=97344 D=b24ac=67624197344=67600 D>0  x1,2=2ab±D=2676±67600 x1,2=2676±260 x1,2=338±130 x1=468 x2=208   Factored form of the equation:  (x468)(x208)=0 

Solution in text:

x2-676x+97344=0 ... quadratic equation

Discriminant:
D = b2 - 4ac = 67600
D > 0 ... The equation has two distinct real roots

x1 = 468
x2 = 208

P = {468; 208}