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:

x2+3+1x=5x x24x+3=0  a=1;b=4;c=3 D=b24ac=42413=4 D>0  x1,2=2ab±D=24±4 x1,2=24±2 x1,2=2±1 x1=3 x2=1   Factored form of the equation:  (x3)(x1)=0 

Solution in text:

x2-4x+3=0 ... quadratic equation

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

x1 = 3
x2 = 1

P = {3; 1}