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Solve the following with method of choice.

1/(x+1)+2/(x+2)=4

I have come up with [-9 +/- sqrt(17)]/8, is this correct?

2006-09-08 06:05:51 · 6 answers · asked by JZ 2 in Education & Reference Homework Help

6 answers

the LCD is (x+1)(x+2)
the expression (x+2)+2(x+1)=4(x+1)(x+2)
x+2+2x+2=4(x^2+3x+2)
removing brackets
3x+4=4x^2+12x+8
transposing
4x^2+9x+4=0
[x=-9+/-(81-64)^1/2]/8
yes you are right

2006-09-08 06:10:21 · answer #1 · answered by raj 7 · 0 0

1/(x+1) + 2/(x+2) = 4
multiply everything by (x+1)(x+2)

(x+2) + 2(x+1) = 4(x+1)(x+2)

x+2 + 2x + 2 = 4(x^2 +x + 2x + 2)

3x + 4 = 4(x^2 + 3x + 2)

3x + 4 = 4x^2 + 12x + 8

4x^2 + 9x = -4

x(4x + 9) = -4

this is what i get... not sure if that's the correct answer. good luck

2006-09-08 13:15:19 · answer #2 · answered by sasmallworld 6 · 0 1

You solve it

2006-09-08 13:07:58 · answer #3 · answered by Anonymous · 0 0

yes, that's the right answer

2006-09-08 13:08:57 · answer #4 · answered by sushobhan 6 · 0 0

yes it is.

2006-09-08 13:07:36 · answer #5 · answered by c money 2 · 0 0

-0.609519377435956

2006-09-08 13:09:56 · answer #6 · answered by Anonymous · 0 0

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