Problem #PRU-86508

Problems Set theory and logic Mathematical logic Mathematical logic (other) Algebra and arithmetic Polynomials Quadratic polynomials Quadratic equations and systems of equations

13–14 2.0

Problem

Solving the problem: “What is the solution of the expression $x^{2000} + x^{1999} + x^{1998} + 1000 x^{1000} + 1000 x^{999} + 1000 x^{998} + 2000 x^{3} + 2000 x^{2} + 2000 x + 3000$ ( $x$ is a real number) if $x^{2} + x + 1 = 0$ ?”, Vasya got the answer of 3000. Is Vasya right?

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