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:

(x+2)2=x21.21 0.21x2+4x+4=0 0.21x24x4=0  a=0.21;b=4;c=4 D=b24ac=4240.21(4)=19.36 D>0  x1,2=2ab±D=0.424±19.36 x1,2=9.52381±10.47619 x1=20 x2=0.952380952   Factored form of the equation:  0.21(x20)(x+0.952380952)=0 

Solution in text:

-0.21x2+4x+4=0 ... quadratic equation

Discriminant:
D = b2 - 4ac = 19.36
D > 0 ... The equation has two distinct real roots

x1 = 20
x2 = -0.952381

P = {20; -0.952381}