Math, asked by rajviprasad2601, 6 months ago

plzzz help meee......​

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Answered by lifekiller05
3

Answer:

 \frac{1}{x + 1}+ \frac{2}{x + 2} =  \frac{4}{x + 4}

 \frac{1 \times (x + 2) + 2(x + 1)}{(x + 1)(x + 2)}  =  \frac{4}{x + 4}

 \frac{x + 2+2x + 2}{x^{2}+x + 2x + 2} =  \frac{4}{x +4 }

 \frac{3x + 4}{x^{2} + 3x + 2 }  =  \frac{4}{x + 4}

(3x + 4) \times (x + 4) = 4( {x}^{2} + 3x + 2)

3 {x}^{2} + 4x + 12x + 16 = 4 {x}^{2} + 12x + 8

4 {x}^{2} - 3 {x}^{2} + 12x - 4x + 8 - 16 = 0

 {x}^{2} + 8x - 8

 {x}^{2} +8x - x - 8

x(x + 8) - 1(x + 8)

(x + 8)(x - 1)

x =  \:  - 8 \:  \:  \: or \:  \:  \: x = 1

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