Simplify to quadratic form

  • Thread starter alpha01
  • Start date
  • #1
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can someone show how to simplify [tex]\frac{12x+9}{x} = x+9[/tex] so that it is in the quadratic form: x^2 -3x -9 = 0

multiplying both sides by x, subtracting both sides by 9 etc. . doesnt give me the quadratic.
 

Answers and Replies

  • #2
tiny-tim
Science Advisor
Homework Helper
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Hi alpha01! :smile:

erm … I think you put 9 on the right-hand side instead of 9x. :redface:
 
  • #3
Just multiply both sides by 'x' :

( x (12x + 9 ) ) / x = x ( x + 9 )

multiplied x on the left hand side cancels out with its denominator & by expanding the right hand side you will get;

12x + 9 = x^2 + 9x

Subtracting both sides by (12x + 9);

0 = x^2 +9x - 12x - 9

which means;

x^2 - 3x - 9 = 0

& thats what you are looking for...
 
  • #6
1,707
5
Hi alpha01! :smile:

erm … I think you put 9 on the right-hand side instead of 9x. :redface:
how would he get a quadratic then :confused:
 
  • #7
1,707
5
sorry misread and now i can't delete
 

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