Question

x+1 /x−1 =  5/ 4 , find the value of x​

Answer 1

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

➙x+1/x-1= 5/4

Cross Multiply to both sides

x+1 gets Multiply with 4 and x-1 gets Multiply with 5

➙4(x+1)=5(x-1)

Expanding the terms and opening the brackets

➙4x+4= 5x-5

Making Variable terms together and constant term together:

solve for x

➙4x-5x+4=-5

Solve for constant

➙-x= -5-4

➙-x= -9

since, negative values on both sides so,it (-) sign gets cancelled.

x= 9

Check:

➙x+1/x-1=5/4

Taking LHS

➙9+1/9-1

➙10/8= 5/4

Since,LHS = RHS (Verified)

Answer 2

Answer:

$\huge{\bold☘}\mathfrak\pink{\bold{\underline{{ Answer}}}}{\bold☘}$

x+1/x-1=5/4

by doing cross multiplication we get

4(x+1) =5(x-1)

=>4x+4=5x-5

=>4+5=5x-4x

=>9=x

Hope it's helpful

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