1/(x+1)+2/(x+2)=4/(x+4)
x not equal to -1,-2,-4
Solve for x ...... pls fast
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1/(x + 1) + 2/(x +2) = 4/( x + 4)
{(x +2) + 2(x + 1)}/( x + 1)(x + 2) = 4/(x + 4)
(3x + 4)(x + 4) = 4( x + 1)( x + 2 )
3x^2 + 12x + 4x + 16 = 4( x^2 +3x +2 )
3x^2 + 16x + 16 = 4x^2 + 12x + 8
x^2 -4x -8 =0
use quadratic formula,
x ={ 4 +_√(16 +32)}/2
={2 +_2√3}
{(x +2) + 2(x + 1)}/( x + 1)(x + 2) = 4/(x + 4)
(3x + 4)(x + 4) = 4( x + 1)( x + 2 )
3x^2 + 12x + 4x + 16 = 4( x^2 +3x +2 )
3x^2 + 16x + 16 = 4x^2 + 12x + 8
x^2 -4x -8 =0
use quadratic formula,
x ={ 4 +_√(16 +32)}/2
={2 +_2√3}
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2
hope this helps u!!!!!!!
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