Equaçao Fracionaria com Bhaskarax/3 - 9/x = - 2.... Pergunta de ideia dePriscilaAldred

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PriscilaAldred @PriscilaAldred

April 2020 2 14 Report

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

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3478elc

Verified answer

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

2 votes Thanks 1

MATHSPHIS

Verified answer

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

1 votes Thanks 1