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:

5=(x1)(x2)/6 0.16666666666667x2+0.5x+4.667=0 0.16666666666667x20.5x4.667=0  a=0.166667;b=0.5;c=4.667 D=b24ac=0.5240.166667(4.667)=3.3611111111 D>0  x1,2=2ab±D=0.3333330.5±3.36 x1,2=1.5±5.5 x1=7 x2=4   Factored form of the equation:  0.16666666666667(x7)(x+4)=0 

Solution in text:

-0.16666666666667x2+0.5x+4.6666666666667=0 ... quadratic equation

Discriminant:
D = b2 - 4ac = 3.3611111111
D > 0 ... The equation has two distinct real roots

x1 = 7
x2 = -4

P = {7; -4}