Simplifying Ellipses: Solving for b^2 = (5/3)

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SUMMARY

The discussion focuses on the simplification of the equation b² = (5/3) in the context of ellipse problems. The correct simplification is ±√(5/3), which can also be expressed as ±(√15)/3. The participants clarify that b is derived from the semi-minor axis of an ellipse, and the simplification process adheres to standard mathematical principles.

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  • Knowledge of square roots and simplification techniques
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wat2000
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If I was solving an ellipse problem and I had b^2 = (5/3) wouldn't that be simplified to + or - sqrt (15/3)? Or would it just be + or - sqrt (5/3)?
 
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wat2000 said:
If I was solving an ellipse problem and I had b^2 = (5/3) wouldn't that be simplified to + or - sqrt (15/3)? Or would it just be + or - sqrt (5/3)?

[tex]\pm \sqrt{\frac 5 3} = \pm \frac{\sqrt{15}} 3[/tex]
 

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