Quadratic equation calculator

Quadratic equation has the basic form: ax2+bx+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.


n(n1)=20 n2n20=0  a=1;b=1;c=20 D=b24ac=1241(20)=81 D>0  n1,2=2ab±D=21±81 n1,2=21±9 n1,2=0.5±4.5 n1=5 n2=4   Factored form of the equation:  (n5)(n+4)=0 

Solution in text:

n2-n-20=0 ... quadratic equation

D = b2 - 4ac = 81
D > 0 ... The equation has two distinct real roots

n1 = 5
n2 = -4

P = {5; -4}