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Solve the equation (x/x+1)+(x+1/x)=34/15

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Solve the equation (x/x+1)+(x+1/x)=34/15
  • 2 answers

Divya Garg 6 years, 11 months ago

First we take LCM and the answer we will obtain is...xsq.+(x+1)sq./(x+1)x= 34/15. Then opening the brackets...2xsq.+2x+1/xsq.+x= 34/15. Now cross multiplication...30xsq.+30x+15= 34xsq.+34x. Now sloving this equation we get the values of x=-5/2 and 3/2

Shivam The Galaxy 6 years, 11 months ago

2x^2 +2x+1= 34x^2+34x/15 Now 4x^2 +4x-15=0 (4x^2-10x)+(6x-15)=0 Taking common 2x(2x-5)+3(2x-5)=0 (2x+3)(2x-5)=0 X= -3/2 and 5/2.
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