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MATH / Let z=a+bi, where a and b are positive real numbers. If

Problem

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problem

Let z=a+bi,z = a + bi, where aa and bb are positive real numbers. If z3+|z|2+z=0,z^3 + |z|^2 + z = 0,then enter the ordered pair (a,b).(a,b).
Plain-text mathematical notation (without MathML)
Let z=a+bi, where a and b are positive real numbers.  If
z³+|z|²+z=0,then enter the ordered pair (a,b).
Original LaTeX notation
Let $z = a + bi,$ where $a$ and $b$ are positive real numbers.  If
\[z^3 + |z|^2 + z = 0,\]then enter the ordered pair $(a,b).$

level

Level 5

type

Intermediate Algebra

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Source and history

task_id
2f05b05c-a3aa-50df-b328-d39c66aefb45
task_key
intermediate~5falgebra--test--2f05b05c-a3aa-50df-b328-d39c66aefb45
task_revision_id
1
config / split
intermediate_algebra / test

Official source

initial import