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)/2=120 0.5n20.5n120=0  a=0.5;b=0.5;c=120 D=b24ac=0.5240.5(120)=240.25 D>0  n1,2=2ab±D=10.5±240.25 n1,2=0.5±15.5 n1=16 n2=15   Factored form of the equation:  0.5(n16)(n+15)=0 

Solution in text:

0.5n2-0.5n-120=0 ... quadratic equation

Discriminant:
D = b2 - 4ac = 240.25
D > 0 ... The equation has two distinct real roots

n1 = 16
n2 = -15

P = {16; -15}