Question

Resolva a equação do 2 grau fracionaria
$\frac{36}{x} - 1 = \frac{36}{x + 3}$
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Answer 1

Explicação passo-a-passo:

36(x+3) - x(x+3) = 36x

_______________ _____

x(x+3). x(x+3)

36x+108-x²-3x= 36x

- x²-3x+108=0

x²+3x-108=0

∆= 3²-4.1.(-108)

∆=9 + 432

∆= 441

x= - 3±√441/2.1

x= -3±21/2

x1= -3+21/2= +18/2=9

x2= -3-21/2= -24/2= -12

S= { 9, -12}