Hi all,
Given this question and was hoping you can check my working out.
Find x in terms of c, given that (2 / 3x-2c) + (3 / 2x-3c) = (7 / 2c)
4c(2x-3c) + 6c(3x-2c) = 7(3x-2c)(2x-3c)
8xc – 12c² + 18xc – 12c² = 7(6x² - 9xc – 4xc + 6c²)
8xc – 12c² + 18xc – 12c² = 42x² - 91xc + 42c²
42x² - 117xc + 76c² = 0
x = 117c ± √(117c)² - 4 (42)(76c²)
2(42)
x = 117c ± √(117c)² - 12768
84
x = 117c ± √921c²
84
Cheers