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:

96=(4+v)v/2 0.5v22v+96=0 0.5v2+2v96=0  a=0.5;b=2;c=96 D=b24ac=2240.5(96)=196 D>0  v1,2=2ab±D=12±196=2±141 v1,2=2±14 v1=12 v2=16   Factored form of the equation:  0.5(v12)(v+16)=0 

Solution in text:

-0.5v2-2v+96=0 ... quadratic equation

Discriminant:
D = b2 - 4ac = 196
D > 0 ... The equation has two distinct real roots

v1 = 12
v2 = -16

P = {12; -16}