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MATH / Let a,b,c be distinct complex numbers such that begin{aligned} 2a^3 + 7a^2 - 8a + 5 &= 0, 2b^3 + 7b^2 - 8b + 5 &= 0, 2c^3 + 7c^2 - 8c + 5 &= 0. end{aligned}Compute the value of t…

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problem

Let a,b,ca, b, c be distinct complex numbers such that \[\begin{aligned} 2a^3 + 7a^2 - 8a + 5 &= 0, \\ 2b^3 + 7b^2 - 8b + 5 &= 0, \\ 2c^3 + 7c^2 - 8c + 5 &= 0. \end{aligned}\]Compute the value of the product abc.abc.
Plain-text mathematical notation (without MathML)
Let a,b,c be distinct complex numbers such that \[\begin{aligned} 2a^3 + 7a^2 - 8a + 5 &= 0, \\ 2b^3 + 7b^2 - 8b + 5 &= 0, \\ 2c^3 + 7c^2 - 8c + 5 &= 0. \end{aligned}\]Compute the value of the product abc.
Original LaTeX notation
Let $a, b, c$ be distinct complex numbers such that \[\begin{aligned} 2a^3 + 7a^2 - 8a + 5 &= 0, \\ 2b^3 + 7b^2 - 8b + 5 &= 0, \\ 2c^3 + 7c^2 - 8c + 5 &= 0. \end{aligned}\]Compute the value of the product $abc.$

level

Level 5

type

Intermediate Algebra

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Source and history

task_id
d087ca32-c30b-5e07-b629-2d4104c232ef
task_key
intermediate~5falgebra--test--d087ca32-c30b-5e07-b629-2d4104c232ef
task_revision_id
1
config / split
intermediate_algebra / test

Official source

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