Question

If
(4/x+1)+(5/x+1)=9/x+2
then the value of x

is:

(A) – 7
(B) 7/2
(C) 7
(D) – 14​

Answer 1

Solution :

Given :

(4/x+1) + (5/x+1) = 9/x+2

Explanation :

= (4/x+1) + (5/x+1) = 9/x+2

= 4(x+1) + 5(x+1)/(x+1)(x+1) = 9/x+2

= 4x + 4 + 5x + 5/x² + x + x + 1 = 9/x+2

= 9x + 9/x² + 2x + 1 = 9/x+2

= 9(x² + 2x + 1) = x+2(9x + 9)

= 9x² + 18x + 9 = 9x² + 9x + 18x + 18

= 9 = 9x + 18

= 9 - 18 = 9x

= -9 = 9x

= x = -9/9

= x = -1

Thus,

The value of x will be -1 .

Answer 2

Step-by-step explanation:

I hope you will understand this