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    Question

    I.√(3x-17)+ x=15 II. y + 135/y=24

    In the following questions, two equations numbered I and II are given. You have to solve both the equations and find out the correct option. Give answer
    A If x ≥ y Correct Answer Incorrect Answer
    B If x ≤ y Correct Answer Incorrect Answer
    C If x > y Correct Answer Incorrect Answer
    D If x < y Correct Answer Incorrect Answer
    E If x = y or relationship between x and y cannot be established Correct Answer Incorrect Answer

    Solution

    I.√(3x-17)+ x=15 √(3x-17)=15-x On squaring both sides 3x-17=(15-x)² 3x-17=225+x²-30x x²+225-30x+17=0 x²-33x+242=0 x²-22x-11x+242=0 x(x-22)- 11(x-22)= 0 x=11,22 II. y+ 135/y=24 y²+135/y=24 y²+135=24y y²-24y+135=0 y²-15y-9y+135=0 y=15,9 Hence, relationship cannot be established between x and y.

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