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MATH / Positive real numbers x,y satisfy the equations x²+y²=1 and x⁴+y⁴=(17)/(18). Find xy.

Problem

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problem

Positive real numbers x,yx,y satisfy the equations x2+y2=1x^2 + y^2 = 1 and x4+y4=1718x^4 + y^4= \frac{17}{18}. Find xyxy.
Plain-text mathematical notation (without MathML)
Positive real numbers x,y satisfy the equations x²+y²=1 and x⁴+y⁴=(17)/(18).  Find xy.
Original LaTeX notation
Positive real numbers $x,y$ satisfy the equations $x^2 + y^2 = 1$ and $x^4 + y^4= \frac{17}{18}$.  Find $xy$.

level

Level 4

type

Algebra

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Source and history

task_id
416dabce-2538-5a9d-8d02-fd7009601e56
task_key
algebra--test--416dabce-2538-5a9d-8d02-fd7009601e56
task_revision_id
1
config / split
algebra / test

Official source

initial import