1.

Find the number of integal values of x satisfying `sqrt(-x^2+10x-16) lt x -2`

Answer» Correct Answer - 3
`sqrt(-x^2+10x-16) lt x-2 `
We must have `-x^2+10 x -16 gt 0 `
or `x^2- 10 x+16 le 0 `
`rArr 2 le x le 8 `
Also `-x^2+10x- 16 lt x^2 -4x +4`
or `2x^2-14x+20 gt 0`
or `x^2- 7 x + 10 gt 0 `
`rArr x gt 5 or x lt 2`
From (1) and (2),`5 lt x le 8 rArr x = 6,7,8`


Discussion

No Comment Found