Question

X+1/x-2 + x-3 /x-4 = 3 1/3

Answer 1

Step-by-step explanation:

$\frac{x + 1}{x - 2} + \frac{x - 3}{x - 4} = \frac{31}{3}$

$x( \frac{1}{ - 2} + \frac{ - 3}{ - 4} )$

$x( \frac{ 2 + ( - 3)}{ - 4} )$

$x( \frac{1}{4} ) = \frac{31}{3}$

$x = \frac{31}{3} \div \frac{1}{4}$

$x = \frac{31}{3} \times 4$

$x = \frac{124}{3}$

Answer:124/3

Answer 2

Answer:

(6.48 ± 1.808) ÷ 2

Step-by-step explanation:

X+1/x-2 + x-3 /x-4 = 3 1/3

( X+1 ) (  x-4)  + (  x-3 ) ( x-2 )   = 31/3 ( x-4) ( x-2 )

x² -3x-4 + x² -5x+6 = 31/3( x² -6x + 8)

2x² - 8x +2 = 31/3( x² -6x + 8)

31/3( x² -6x + 8) = 2x² - 8x +2

31( x² -6x + 8) = 3(2x² - 8x +2 )

31 x² -186x + 248 = 6x² - 24x + 6

25x² - 162x + 242 = 0

x² - 6.48x + 9.68 = 0

x = 6.48 ± √ 6.48² - 4 x 9.68 ÷ 2

x = (6.48 ± 1.808) ÷ 2