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)=650 n2n650=0  a=1;b=1;c=650 D=b24ac=1241(650)=2601 D>0  n1,2=b±D2a=1±26012 n1,2=1±512 n1,2=0.5±25.5 n1=26 n2=25   Factored form of the equation:  (n26)(n+25)=0 

Solution in text:

n2-n-650=0 ... quadratic equation

Discriminant:
D = b2 - 4ac = 2601
D>0 ... The equation has two distinct real roots

n1 = 26
n2 = -25

P = {26; -25}