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:

(5R1)+R1=R1(5R1)/1.2 0.83333333333333R24.167R+5=0  a=0.833333;b=4.167;c=5 D=b24ac=4.167240.8333335=0.6944444444 D>0  R1,2=2ab±D=1.6666674.17±0.69 R1,2=2.5±0.5 R1=3 R2=2   Factored form of the equation:  0.83333333333333(R3)(R2)=0 

Solution in text:

0.83333333333333R2-4.1666666666667R+5=0 ... quadratic equation

Discriminant:
D = b2 - 4ac = 0.6944444444
D > 0 ... The equation has two distinct real roots

R1 = 3
R2 = 2

P = {3; 2}