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3x-4/7+7/3x-4=5/2

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3x-4/7+7/3x-4=5/2

    • Posted by Rakshith Narajji 7 years, 10 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Rajeev Malhotra 7 years, 10 months ago

    3x-4/7 +7/3x-4=5/2

    Taking LCM ,we get

    (3x-4)(3x-4)+49/7(3x-4)= 5/2

    9x2+16-24x+49/21x-28=5/2

    9x2 -24x+65/21x-28=5/2

    By cross multiplication , we get

    18x2-48x+130= 105x-140

    18x2 -48x-105x+130+140=0

    18x2 -153x +270 =0

    18x2 -108x -45x+270 =0

    18x(x-6) -45(x-6) =0

    (x-6)(18x-45)=0

    x=6 or x =45/18=5/2

     

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