Question

Solve by Factorisation​

Answer 1

Answer:

Step-by-step explanation:

a / (x - a) + b / (x - b) = 2c / (x - c) 

=> [a(x - b) + b (x - a)] / (x - a) (x - b) = 2c / (x - c) 

=> [(a + b) x - 2ab] (x - c) = 2c [x^2 - (a + b)x + ab] 

=> (a + b) x^2 - [2ab + c(a + b)]x + 2abc = 2cx^2 - 2c(a + b)x + 2abc 

=> (a + b - 2c) x^2 = (2ab + ac + bc - 2ca - 2bc) x 

=> (a + b - 2c) x^2 = (2ab - ca - bc) x 

=> x = 0 

or x = (2ab - ca - bc) / (a + b - 2c)

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