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Pair of lines
abc + 2fgh − af² − bg² − ch² = 0
Where: a = Pair of lines, b = b, c = y-intercept, f = f, g = g, h = h
Solved example
Given: b = 7, c = 5, f = 10, g = 4, h = 3
Find: a (Pair of lines)
- Formula: a·b·c - a·f² - b·g² - c·h² + 2·f·g·h = 0
- Rearranged for a: a = (b·g² + c·h² - 2·f·g·h)/(b·c - f²)
- Substitute the values: a = (-2·10·3·4 + 3²·5 + 4²·7)/(-10² + 5·7)
- Result: a = 1.276923
Answer: a = 1.276923
Calculator
How to calculate Pair of lines
- Write down the formula: abc + 2fgh − af² − bg² − ch² = 0.
- Note the known values (b, c, f, g, h).
- Substitute them and simplify to find a.
- Use the calculator above to solve for any letter.
Frequently asked questions
What is the formula for Pair of lines?
The formula is abc + 2fgh − af² − bg² − ch² = 0, where a = Pair of lines, b = b, c = y-intercept, f = f, g = g, h = h.
What is Pair of lines when b = 7, c = 5, f = 10, g = 4, h = 3?
a = 1.276923. Substitute the values into abc + 2fgh − af² − bg² − ch² = 0 and simplify.