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:

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=b±D2a=27±29252.8718 r1,2=1.5±9.5019272898829 r1=8.0019272898829 r2=11.001927289883   Factored form of the equation:  9(r8.0019272898829)(r+11.001927289883)=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 = 8.0019272898829
r2 = -11.001927289883

P = {8.0019272898829; -11.001927289883}