Quadratic equation calculator

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

eq2
Enter the coefficients a, b, c of quadratic equation in 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=b±D2a=1±1212 n1,2=1±112 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}