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MATH / Find all real numbers k such that x⁴+kx³+x²+4kx+16=0 is true for exactly one real number x=r. Enter all the possible values of k, separated by commas.

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problem

Find all real numbers kk such that x4+kx3+x2+4kx+16=0x^4+kx^3+x^2+4kx+16=0 is true for exactly one real number x=rx = r. Enter all the possible values of k,k, separated by commas.
Plain-text mathematical notation (without MathML)
Find all real numbers k such that x⁴+kx³+x²+4kx+16=0 is true for exactly one real number x=r.  Enter all the possible values of k, separated by commas.
Original LaTeX notation
Find all real numbers $k$ such that $x^4+kx^3+x^2+4kx+16=0$ is true for exactly one real number $x = r$.  Enter all the possible values of $k,$ separated by commas.

level

Level 5

type

Intermediate Algebra

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Source and history

task_id
4f87767b-d9da-5f84-b785-405499d0ebaf
task_key
intermediate~5falgebra--test--4f87767b-d9da-5f84-b785-405499d0ebaf
task_revision_id
1
config / split
intermediate_algebra / test

Official source

initial import