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Eccentricity (Hyperbola x²/a² − y²/b² = 1)
e = √(1 + b²/a²)
Where: a = a, b = b, e = eccentricity
Solved example
Given: a = 7, b = 5
Find: e (eccentricity)
- Formula: e = √(1 + b²/a²)
- Substitute the values: e = √(5²/7² + 1)
- Result: e = 1.228904
Answer: e = 1.228904
Calculator
How to calculate Eccentricity (Hyperbola x²/a² − y²/b² = 1)
- Write down the formula: e = √(1 + b²/a²).
- Note the known values (a, b).
- Substitute them and simplify to find e.
- Use the calculator above to solve for any letter.
Frequently asked questions
What is the formula for Eccentricity (Hyperbola x²/a² − y²/b² = 1)?
The formula is e = √(1 + b²/a²), where a = a, b = b, e = eccentricity.
What is Eccentricity (Hyperbola x²/a² − y²/b² = 1) when a = 7, b = 5?
e = 1.228904. Substitute the values into e = √(1 + b²/a²) and simplify.