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MATH / Let a=1+i and b=4+7i. The complex number c lies on the line segment connecting a and b so that the distance between a and c is equal to twice the distance between c and b. Find c.

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problem

Let a=1+ia = 1 + i and b=4+7i.b = 4 + 7i. The complex number cc lies on the line segment connecting aa and bb so that the distance between aa and cc is equal to twice the distance between cc and b.b. Find c.c.
Plain-text mathematical notation (without MathML)
Let a=1+i and b=4+7i.  The complex number c lies on the line segment connecting a and b so that the distance between a and c is equal to twice the distance between c and b.  Find c.
Original LaTeX notation
Let $a = 1 + i$ and $b = 4 + 7i.$  The complex number $c$ lies on the line segment connecting $a$ and $b$ so that the distance between $a$ and $c$ is equal to twice the distance between $c$ and $b.$  Find $c.$

level

Level 3

type

Intermediate Algebra

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Source and history

task_id
d231cfa2-b577-5d90-b967-8c1af47171de
task_key
intermediate~5falgebra--test--d231cfa2-b577-5d90-b967-8c1af47171de
task_revision_id
1
config / split
intermediate_algebra / test

Official source

initial import