If μ + v = 8 and μv = 15, find μ - v?
If μ + v = 8 and μv = 15, find μ - v?
Explanation
Given:
μ + v = 8
μv = 15
The formula for (μ - v)² is:
(μ - v)² = (μ + v)² - 4μv
= 8² - 4 × 15
= 64 - 60
= 4
μ - v = ±√4
μ - v = ±2
Given:
μ + v = 8
μv = 15
The formula for (μ - v)² is:
(μ - v)² = (μ + v)² - 4μv
= 8² - 4 × 15
= 64 - 60
= 4
μ - v = ±√4
μ - v = ±2