What is the value of x when X/2=5-x/x-5

x = 5 - x

2 x - 5

2 (5 - x) = x (x - 5)

10 - 2x = x² - 5x

10 - 2x = x² - 5x

+ 5x + 5x

10 + 3x = x²

0 = x² - 3x - 10

x² - 3x - 10 = 0

x = - (-3) + / - √ ((-3) ² - 4 (1) (-10))

2 (1)

x = 3 + / - √ (9 + 40)

2

x = 3 + / - √ (49)

2

x = 3 + / - 7

2

x = 1.5 + 3.5

x = 1.5 + 3.5 x = 1.5 - 3.5

x = 5 x = - 2

The value of x is equal to - 2, not 5.