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MATH / a and b are real numbers and satisfy ab²=(27)/(5) and a²b=135. Compute a+5b.

Problem

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

problem

a

and

b

are real numbers and satisfy

ab^2=\frac{27}{5}

and

a^2b=135

. Compute

a+5b

Plain-text mathematical notation (without MathML)

a and b are real numbers and satisfy ab²=(27)/(5) and a²b=135. Compute a+5b.

Original LaTeX notation

$a$ and $b$ are real numbers and satisfy $ab^2=\frac{27}{5}$ and $a^2b=135$. Compute $a+5b$.

level

Level 5

type

Algebra

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Source and history

task_id: 59875ac9-2127-56ff-9995-63f7f5bb30bf
task_key: algebra--test--59875ac9-2127-56ff-9995-63f7f5bb30bf
task_revision_id: 2
config / split: algebra / test

Official source

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