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Rectangular hyperbola
xy = c²; e = √2
Where: c = y-intercept, x = x, y = y
Solved example
Given: x = 7, y = 5
Find: c (y-intercept)
- Formula: x·y = c²
- Rearranged for c: c = √(x·y)
- Substitute the values: c = √(5·7)
- Rearranged for c: c = -√(x·y)
- Substitute the values: c = -√(5·7)
- Result: c = 5.91608 ; c = -5.91608
Answer: c = 5.91608
Calculator
How to calculate Rectangular hyperbola
- Write down the formula: xy = c²; e = √2.
- Note the known values (x, y).
- Substitute them and simplify to find c.
- Use the calculator above to solve for any letter.
Frequently asked questions
What is the formula for Rectangular hyperbola?
The formula is xy = c²; e = √2, where c = y-intercept, x = x, y = y.
What is Rectangular hyperbola when x = 7, y = 5?
c = 5.91608. Substitute the values into xy = c²; e = √2 and simplify.