Question

1 upon 2 x minus 3 + 1 upon x minus 5 is equal to 9

Answer 1

1/2x-(3+1)/x-5=9
x-5/2x-4=9
9(2x-4)=x-5
18x-36=x-5
18x-x=36-5
17x=31
x=31/17

Answer 2

Answer:

x=1.554 and x=5.113

Step-by-step explanation:

Given : Expression $\frac{1}{2x-3}+\frac{1}{x-5}=9$

To find : The value of x?

Solution :

$\frac{1}{2x-3}+\frac{1}{x-5}=9$

$\frac{x-5+2x-3}{(2x-3)(x-5)}=9$

$\frac{3x-8}{2x^2-10x-3x+15}=9$

$\frac{3x-8}{2x^2-13x+15}=9$

$3x-8=9(2x^2-13x+15)$

$3x-8=18x^2-117x+135$

$18x^2-120x+143=0$

Solve the equation graphically to find the value of x.

Refer the attached figure.

The value of x is 1.554 and 5.113.