Question

5/(x - 5) + 2/(x - 2) = 3/(x - 3) + 4/(x - 4)​

Answer 1

Answer:

x = 0, 3.5

Step-by-step explanation:

Find the LCD of the terms in the equation.

(x-5) (x-2) (x-3)(x-4)

Multiply each term in 5/x-5 + 2/x-2 = 3/x-3 + 4/x-4 to eliminate the fractions.

7x^3 - 69x^2 + 224x - 240 = 7x^3 - 73x^2 + 238x - 240

Solve the equation.

x = 0, 7/2

exact form x = 0, 7/2

decimal form: x=0, 3.5

mixed number form: x=0, 3 1/2