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MATH / Suppose a and b are positive real numbers with a>b and ab=8. Find the minimum value of (a²+b²)/(a−b).

Problem

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problem

Suppose aa and bb are positive real numbers with a>ba > b and ab=8.ab = 8. Find the minimum value of a2+b2a−b.\frac{a^2 + b^2}{a - b}.
Plain-text mathematical notation (without MathML)
Suppose a and b are positive real numbers with a>b and ab=8.  Find the minimum value of (a²+b²)/(a−b).
Original LaTeX notation
Suppose $a$ and $b$ are positive real numbers with $a > b$ and $ab = 8.$  Find the minimum value of $\frac{a^2 + b^2}{a - b}.$

level

Level 5

type

Intermediate Algebra

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Source and history

task_id
29965322-fa4d-5b9f-8df8-849b0e11699a
task_key
intermediate~5falgebra--test--29965322-fa4d-5b9f-8df8-849b0e11699a
task_revision_id
1
config / split
intermediate_algebra / test

Official source

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