Question

Equaçao Fracionaria com Bhaskara
x/3 - 9/x = - 2 

Answer 1

x - 9 = - 2  mmc = 3x
3   x

x^2 - 27 = - 6x

x^2 + 6x - 27 = 0


delta = 6^2 - 4.1.(-27) = 36+ 108 = 144


x= - 6 +/- V144 ==> - 6 +/- 12
            2.1                   2

x1= - 6 + 12 ==> x1 = 3
            2

x2= - 6 - 12 ==> x2 = - 9
            2

Answer 2

$\frac{x}{3}-\frac{9}{x}=-2 \\ \\ x^2-27=-6x \\ \\ x^2+6x-27 =0 \\ \\ \Delta=6^2-4.1.(-27)=36+108=144 \\ \\ x=\frac{-6+-\sqrt{144}}{2}=\frac{-6+-12}{2}=-3+-6 \\ \\ x_1=-9 \\ \\ x_2=3$