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MATH / The polynomials (x−2)⁴−(x−2)=0 and x²−kx+k=0 have two roots in common. Find the value of k.

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problem

The polynomials (x−2)4−(x−2)=0(x - 2)^4 - (x - 2) = 0 and x2−kx+k=0x^2 - kx + k = 0 have two roots in common. Find the value of k.k.
Plain-text mathematical notation (without MathML)
The polynomials (x−2)⁴−(x−2)=0 and x²−kx+k=0 have two roots in common.  Find the value of k.
Original LaTeX notation
The polynomials $(x - 2)^4 - (x - 2) = 0$ and $x^2 - kx + k = 0$ have two roots in common.  Find the value of $k.$

level

Level 4

type

Intermediate Algebra

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Source and history

task_id
3a457d91-cf78-5555-b85e-67ffacc4553c
task_key
intermediate~5falgebra--test--3a457d91-cf78-5555-b85e-67ffacc4553c
task_revision_id
1
config / split
intermediate_algebra / test

Official source

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