SOLUTION: Let f(x)=(x^2+6x+9)^{50}-4x+3, and let r_1,r_2,...,r_{100} be the roots of f(x).
Compute (r_1+3)^{100}+(r_2+3)^{100}+...+(r_{100}+3)^{100}.
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Polynomials-and-rational-expressions
-> SOLUTION: Let f(x)=(x^2+6x+9)^{50}-4x+3, and let r_1,r_2,...,r_{100} be the roots of f(x).
Compute (r_1+3)^{100}+(r_2+3)^{100}+...+(r_{100}+3)^{100}.
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Question 1174690: Let f(x)=(x^2+6x+9)^{50}-4x+3, and let r_1,r_2,...,r_{100} be the roots of f(x).
Compute (r_1+3)^{100}+(r_2+3)^{100}+...+(r_{100}+3)^{100}. Answer by ikleyn(52803) (Show Source):
