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:

(x2x)2+(2x1)2=2 5x24x1=0  a=5;b=4;c=1 D=b24ac=4245(1)=36 D>0  x1,2=b±D2a=4±3610 x1,2=4±610 x1,2=0.4±0.6 x1=1 x2=0.2   Factored form of the equation:  5(x1)(x+0.2)=0 

Solution in text:

5x2-4x-1=0 ... quadratic equation

Discriminant:
D = b2 - 4ac = 36
D>0 ... The equation has two distinct real roots

x1 = 1
x2 = -0.2

P = {1; -0.2}