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The harmonic mean of two numbers is 4. Their arithmetic mean A and the geometric mean G satisfy the relation 2A + G2 = 27. Find the numbers.

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Physics
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Units & MeasurementsVector AlgebraMotionLaws of MotionCircular MotionWork Power & EnergyCenter of MassRotational MotionProperties of MatterHeat and ThermodynamicsSimple Harmonic MotionWavesGravitation
Electricity
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Organic Chemistry
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Mathematics
Algebra
Sets and RelationsLogarithmsSequence and SeriesQuadratic EquationsPermutations and CombinationsMathematical Induction and Binomial TheoremMathematical InductionBinomial TheoremMatrices and DeterminantsVector AlgebraThree Dimensional GeometryProbabilityComplex NumbersStatistics
Trigonometry
Trigonometric Functions & EquationsInverse Trigonometric FunctionsProperties of Triangle
Coordinate Geometry
Straight Lines and Pair of Straight LinesCircleParabolaEllipseHyperbola
Calculus
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