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MATH / Find all values of x such that

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

Find all values of xx such that \[ \begin{vmatrix} 1 & 1 & 1 \\ x & 7 & -2 \\ x^3 & 343 & -8 \end{vmatrix} = 0.\]Enter your values separated by commas. For example, if you think the possible values are 4, 5, and 6, then enter you answer as "4,5,6".
Plain-text mathematical notation (without MathML)
Find all values of x such that
\[
\begin{vmatrix} 1 & 1 & 1 \\ x & 7 & -2 \\ x^3 & 343 & -8 \end{vmatrix}
= 0.\]Enter your values separated by commas.  For example, if you think the possible values are 4, 5, and 6, then enter you answer as "4,5,6".
Original LaTeX notation
Find all values of $x$ such that
\[
\begin{vmatrix} 1 & 1 & 1 \\ x & 7 & -2 \\ x^3 & 343 & -8 \end{vmatrix}
= 0.\]Enter your values separated by commas.  For example, if you think the possible values are 4, 5, and 6, then enter you answer as "4,5,6".

level

Level 4

type

Precalculus

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Source and history

task_id
e2c9b415-ff51-5532-b873-5bd1adcb1552
task_key
precalculus--test--e2c9b415-ff51-5532-b873-5bd1adcb1552
task_revision_id
1
config / split
precalculus / test

Official source

initial import