x + y^2 = 17
17 > y + x^2 > 14
here x and y are real numbers greater than 1
then y-x will be
OPtion
1) more than 1
2) more than 2
3) less than 3
4) more than 5
5) more than 6
6) more than 7
7) equal to 6
8) equal to 7
9) equal to 8
10) none of these
Solution
According to the given condition
x + y^2 = 17
17 > y + x^2 > 14
so 17-17 < (x + y^2) - (y + x^2) < 17-14
so 0 < (y^2 - x^2) - (y - x) < 3
so 0 < (y-x)(y+x-1) < 3
so 0 < y-x < 3/(y+x-1)
so y-x will be less than 3
A man whose mind has gone astray should study mathematics.
Francis Bacon
mathematics never dies because it always stays in the minds and souls of people who love mathematics.
Those people will not let maths die instead they will die.................