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:

n(n1)=30 n2n30=0  a=1;b=1;c=30 D=b24ac=1241(30)=121 D>0  n1,2=2ab±D=21±121 n1,2=21±11 n1,2=0.5±5.5 n1=6 n2=5   Factored form of the equation:  (n6)(n+5)=0 

Solution in text:

n2-n-30=0 ... quadratic equation

Discriminant:
D = b2 - 4ac = 121
D > 0 ... The equation has two distinct real roots

n1 = 6
n2 = -5

P = {6; -5}