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Omni-MATH / For any positive real numbers a and b, define a∘b=a+b+2√(ab). Find all positive real numbers x such that x²∘9x=121.

Problem

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problem

For any positive real numbers aa and bb, define a∘b=a+b+2aba \circ b=a+b+2 \sqrt{a b}. Find all positive real numbers xx such that x2∘9x=121x^{2} \circ 9x=121.
Plain-text mathematical notation (without MathML)
For any positive real numbers a and b, define a∘b=a+b+2√(ab). Find all positive real numbers x such that x²∘9x=121.
Original LaTeX notation
For any positive real numbers \(a\) and \(b\), define \(a \circ b=a+b+2 \sqrt{a b}\). Find all positive real numbers \(x\) such that \(x^{2} \circ 9x=121\).

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Source and history

task_id
70988e54-4e07-5cdb-9143-c209e99619b3
task_key
test--70988e54-4e07-5cdb-9143-c209e99619b3
task_revision_id
1
config / split
/ test

Official source

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