Quadratic equation calculator

Quadratic equation has the basic form:
ax2+bx+c=0

eq2
Enter the coefficients a, b, c of quadratic equation in 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=b±D2a=4±19.360.42 x1,2=9.52380952±10.47619047619 x1=20 x2=0.95238095238095   Factored form of the equation:  0.21(x20)(x+0.95238095238095)=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 = -0.95238095238095

P = {20; -0.95238095238095}