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+3x9=0 x2+3x9=0  a=1;b=3;c=9 D=b24ac=3241(9)=45 D>0  x1,2=2ab±D=23±45=23±35 x1,2=1.5±3.354102 x1=1.854101966 x2=4.854101966   Factored form of the equation:  (x1.854101966)(x+4.854101966)=0 

Solution in text:

x2+3x-9=0 ... quadratic equation

Discriminant:
D = b2 - 4ac = 45
D > 0 ... The equation has two distinct real roots

x1 = 1.854102
x2 = -4.854102

P = {1.854102; -4.854102}