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)=2450 n2n2450=0  a=1;b=1;c=2450 D=b24ac=1241(2450)=9801 D>0  n1,2=2ab±D=21±9801 n1,2=21±99 n1,2=0.5±49.5 n1=50 n2=49   Factored form of the equation:  (n50)(n+49)=0 

Solution in text:

n2-n-2450=0 ... quadratic equation

Discriminant:
D = b2 - 4ac = 9801
D > 0 ... The equation has two distinct real roots

n1 = 50
n2 = -49

P = {50; -49}