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:

240v=(v+8)(240v) v2+8v1920=0  a=1;b=8;c=1920 D=b24ac=8241(1920)=7744 D>0  v1,2=2ab±D=28±7744 v1,2=28±88 v1,2=4±44 v1=40 v2=48   Factored form of the equation:  (v40)(v+48)=0 

Solution in text:

v2+8v-1920=0 ... quadratic equation

Discriminant:
D = b2 - 4ac = 7744
D > 0 ... The equation has two distinct real roots

v1 = 40
v2 = -48

P = {40; -48}