Math, asked by asrafatima80, 10 months ago

factorize :
x+1/x-1 = 3x-7/2x-5​

Answers

Answered by vamsi2145
8

Step-by-step explanation:

Hello mate.

Thanks for asking this question.

Your answer is =>

as we have given the equation =>

=>\frac{(x-1) }{(x+1) }=\frac{(2x-5) }{(3x-7) }

cross multiply both sides , we get =>

=>(X-1) (3x-7) =(2x-5) (x+1)

=>3x^{2}-7x-3x+7\: =\: 2x^{2}-3x-12

=>3x^{2}-10x+7\: =\: 2x^{2}-3x-12

=>3x^{2}-2x^{2}-10x+3x+7+5=0

=>x^{2}-7x+12\:=\:0

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

=>x(x-3) \: -\:4(x-3) =\: 0

=>(x-3) (x-4) =0

=>(x-3) =0 \: \: \: \: or\: \: \: \: (x-4) =0

=>x\: =\: 3 \: \: \: or\: \: \: x\: =\: 4

our factors for given equation are 3 & 4.

says thanks bro for this problem

Answered by janakivadivelu77
36

Answer:

the factors are 3 and 4.

Step-by-step explanation:

x+1/x-1=3x-7/2x-5

(x+1)(2x-5)=(3x-7)(x-1)

2x²-5x+2x-5=3x²-3x-7x+7

2x²-3x-5=3x²-10x+7

x²-7x+12=0

x²-3x-4x+12=0

x(x-3)-4(x-3)=0

(x-3)(x-4)=0

Please mark this answer as brainliest.

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