Question

Find the roots of the given equation:

1 1 1 , 3, 5

3 5 6

x

x x

− =  −

− +

2

​

Answer 1

Answer:

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Step-by-step explanation:

1/x-3 - 1/x-5 = ⅙

x+5 - x+3 / (x-3 ) (x+5) = ⅙

8/ (x-3 ) (x+5) = ⅙

48 = x² + 2x - 15

x² + 2x - 15 - 48= 0

x² + 2x - 63 = 0

x² + 9x - 7x - 63 = 0

x(x+9) - 7(x+9) = 0

(x- 7) (x + 9) = 0

x= 7 , x= -9