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:

9r2+27r+27=819.3296 9r2+27r792.33=0  a=9;b=27;c=792.33 D=b24ac=27249(792.33)=29252.8656 D>0  r1,2=2ab±D=1827±29252.87 r1,2=1.5±9.501927 r1=8.00192729 r2=11.00192729   Factored form of the equation:  9(r8.00192729)(r+11.00192729)=0 

Solution in text:

9r2+27r-792.3296=0 ... quadratic equation

Discriminant:
D = b2 - 4ac = 29252.8656
D > 0 ... The equation has two distinct real roots

r1 = 8.0019273
r2 = -11.0019273

P = {8.0019273; -11.0019273}