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f(x)=x150+x2−7x+1\large f(x)= x^{150} + x^{2} -7x + 1f(x)=x150+x2−7x+1
Let x1x_{1}x1, x2x_{2}x2, x3x_{3}x3…\ldots… x150x_{150}x150 be the roots of the above equation. Define
S=∑i=11501(1+xi)2\large S = \huge \sum_{i=1}^{150}\dfrac{1}{(1+x_{i})^{2}}S=i=1∑150(1+xi)21
Find ∣S∣ |S| ∣S∣.
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