Question

In the following questions two equations numbered I and II are given. You have to solve both the equations. Give answer if;

I.√(3x-17)+ x=15

II.  y+  135/y=24 

A x Correct Answer Incorrect Answer
B x>y, Correct Answer Incorrect Answer
C x=y or no relationship cannot be established between x and y Correct Answer Incorrect Answer
D x≥y, Correct Answer Incorrect Answer
E x≤y 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  x^2+225-33x+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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