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:

12=1/20.5x(x+2) 0.25x20.5x+12=0 0.25x2+0.5x12=0  a=0.25;b=0.5;c=12 D=b24ac=0.5240.25(12)=12.25 D>0  x1,2=2ab±D=0.50.5±12.25=1±49 x1,2=1±7 x1=6 x2=8   Factored form of the equation:  0.25(x6)(x+8)=0 

Solution in text:

-0.25x2-0.5x+12=0 ... quadratic equation

Discriminant:
D = b2 - 4ac = 12.25
D > 0 ... The equation has two distinct real roots

x1 = 6
x2 = -8

P = {6; -8}