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Can u guys help me

 

What are two solutions for x= 1/3x+5

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PLZ HELP ME I HAVE NO IDEA!!!!! =0

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 Dec 5, 2016
 #1
avatar+33653 
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I assume this is meant to be x = 1/(3x) + 5

 

If so, multiply all terms by 3x, to get. 3x2 = 1 + 15x

 

Subtract 1 + 15x from both sides:  3x2 - 15x - 1 = 0

 

This is a quadratic equation so the two solutions are given by:

 

x1 = (15 + sqrt(152 - 4*3*(-1)))/(2*3) → (15 + sqrt(237))/6

 

x2 = (15 - sqrt(152 - 4*3*(-1)))/(2*3) → (15 - sqrt(237))/6

 

If the original equation is meant to be x = 1/(3x + 5) then multiply through by 3x + 5 to get

3x2 + 5x = 1.  Subtract 1 from both sides: 

 

3x2 + 5x -1 = 0

 

The solutions are:

 

x1 = (-5 + sqrt(25 + 12))/6 → (-5 + sqrt(37))/6

 

x2 = (-5 sqrt(37))/6

 Dec 5, 2016
 #2
avatar+33653 
0

That last equation should have a minus sign between the 5 and sqrt.

Alan  Dec 5, 2016

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