The number of the integral solutions of 32 +9< (x + 3)2 < 8x + 25 is (A) 1 (B) 2 (C) 3 (D) None of these

$$\begin{gathered} -x^2-3x+2=0 (x is positive) \\ x=\frac{+3\pm \sqrt{9-8}}{2} \\ =\frac{3\pm 1}{2} \\ x=\frac{3+1}{2} \& \frac{3-1}{2} \\ \mathit{x}\mathbf{=}\mathbf{2}\mathbf{,}\mathbf{ }\mathbf{1} \\ \mathbf{\therefore }\mathbf{ }No. of real roots of given eq. is 2 \\ \mathbf{\therefore }\mathit{o}\mathit{p}\mathit{t}\mathit{i}\mathit{o}\mathit{n}\mathbf{ }\mathbf{\left(}\mathit{b}\mathbf{\right)}\mathbf{ }\mathit{i}\mathit{s}\mathbf{ }\mathit{c}\mathit{o}\mathit{r}\mathit{r}\mathit{e}\mathit{c}\mathit{t}\mathbf{ } \end{gathered}$$