Question

find x in terms of a, b, c in which a/x-a + b/x-b = 2c/x-c​

Answer 1

Answer:

» a/(x - a) + b/(x - b) = 2c/(x - c)

» (ax - ab + bx - ab)/(x - a)(x - b) = 2c/(x - c)

» [x (a + b) - 2ab]/(x² - x (a + b) + ab) = 2c/(x - c)

» x² - cx (a + b) - 2abx + 2abc = 2xc² - 2cx (a + b) + 2abc

» x² - 2abx = 2x²c - cx (a + b )

» - 2ab - c (a + b) = 2xc - x

» x - 2xc = 2ab - c (a + b)

» x (1 - 2c) = 2ab - c (a + b)

» x = [2ab - c (a + b)]/(1 - 2c)