1.

The number of integral solutions of `x^2+9

Answer» Correct Answer - D
We have,
`x^(2) + p lt (x+3)^(2) lt 8x + 25`
`rArr x^(2) + 9 lt x^(2) + 6x + 9 lt 8x + 25`
`rArr x^(2) + 9 lt x^(2) + 6x + 9 " and "x^(2) + 6x + 9 lt 8x + 25`
`rArr 6x gt 0 " and " x^(2) -2x-16 lt 0`
`rArr x gt 0 " and " 1-sqrt(17) lt x lt 1 + sqrt(17)`
`rArr 0 lt x lt 1 + sqrt(17) rArr x = 1, 2, 3, 4, 5`


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