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