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3 years ago

Solve: (15/x)+(9x-7)/(x+2)=9

Mathematics

1 answer:

hram777 [196]3 years ago

3 0

Answer:x=3

Step-by-step explanation:

D( x )

x+2 = 0

x = 0

x+2 = 0

x+2 = 0 // - 2

x = -2

x = 0

x in (-oo:-2) U (-2:0) U (0:+oo)

(9*x-7)/(x+2)+15/x = 9 // - 9

(9*x-7)/(x+2)+15/x-9 = 0

(x*(9*x-7))/(x*(x+2))+(15*(x+2))/(x*(x+2))+(-9*x*(x+2))/(x*(x+2)) = 0

x*(9*x-7)+15*(x+2)-9*x*(x+2) = 0

9*x^2-9*x^2+8*x-18*x+30 = 0

30-10*x = 0

(30-10*x)/(x*(x+2)) = 0

(30-10*x)/(x*(x+2)) = 0 // * x*(x+2)

30-10*x = 0

30-10*x = 0 // - 30

-10*x = -30 // : -10

x = -30/(-10)

x = 3

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Refer to the attachment.

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