0-49 'सूर्यः इति शब्दस्य कः अर

1.	0-49 'सूर्यः इति शब्दस्य कः अर्थः ? *O सुधाकरःO अनिलःO दिवाकरःO धेनवः
Answer» EXPLANATION: $\mathsf{Consider :\;\dfrac{x^2 + x + 2}{x^2 - x^3}}$ Taking x common in both NUMERATOR and Denominator, We GET : $\mathsf{\implies \dfrac{x\bigg[x + 1 + \dfrac{2}{x}\bigg]}{x(x - x^2)}}$ $\mathsf{\implies \dfrac{\bigg[\bigg(x + \dfrac{2}{x}\bigg) + 1\bigg]}{x - x^2}}$ $\mathsf{Given :\;x + \dfrac{2}{x} = 1}$ $\mathsf{\implies \dfrac{1 + 1}{x - x^2}}$ $\mathsf{\implies \dfrac{2}{x - x^2}}$ $\mathsf{Now,\;Consider :\;x + \dfrac{2}{x} = 1}$ $\mathsf{\implies \dfrac{x^2 + 2}{x} = 1}$ $\mathsf{\implies x^2 + 2 = x}$ $\mathsf{\implies x - x^2 = 2}$ $\mathsf{Substituting\;the\;value\;of\;(x - x^2)\;in\;\dfrac{2}{x - x^2},\;We\;get :}$ $\mathsf{\implies \dfrac{2}{2} = 1}$ $\underline{\mathbf{Answer}} : \mathsf{Value\;\;of\;\;\dfrac{x^2 + x + 2}{x^2 - x^3}\;\;is\;\;\boxed{\mathbf{1}}}$