benchmarks.wiki

benchmarks.wiki / Public workspace

MATH / Let a=4+3i, b=1−2i, and c=8−5i. The complex number d is such that a, b, c, and d form the vertices of a parallelogram, when plotted in the complex plane. Enter all possible values …

Problem

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

problem

Let a=4+3i,a = 4 + 3i, b=1−2i,b = 1 -2i, and c=8−5i.c = 8 - 5i. The complex number dd is such that a,a, b,b, c,c, and dd form the vertices of a parallelogram, when plotted in the complex plane. Enter all possible values of d,d, separated by commas.
Plain-text mathematical notation (without MathML)
Let a=4+3i, b=1−2i, and c=8−5i.  The complex number d is such that a, b, c, and d form the vertices of a parallelogram, when plotted in the complex plane.  Enter all possible values of d, separated by commas.
Original LaTeX notation
Let $a = 4 + 3i,$ $b = 1 -2i,$ and $c = 8 - 5i.$  The complex number $d$ is such that $a,$ $b,$ $c,$ and $d$ form the vertices of a parallelogram, when plotted in the complex plane.  Enter all possible values of $d,$ separated by commas.

level

Level 4

type

Intermediate Algebra

Discussion

Discussion

No discussion posts on this page yet. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

Source and history

task_id
228fd934-88dd-5cc5-b98b-1e0fc4ee7fac
task_key
intermediate~5falgebra--test--228fd934-88dd-5cc5-b98b-1e0fc4ee7fac
task_revision_id
1
config / split
intermediate_algebra / test

Official source

initial import