Question

(2x-3/x-1)-4(x-1/2x-3)=3​

Answer 1

Answer:

x=( 1±√5) /2

Step-by-step explanation:

(2x-3)/ (x-1) - 4(x-1) /( 2x-3) = 3​

Let 2x-3=a and x-1=b

Then a/b +b/a=3

1/ab( a²+b²) =3

a²+b²=3ab

a²+b²+2ab=5ab

(a+b)²=5ab

Putting value of a and b

(2x-3+x-1)²=5(2x-3)(x-1)

(3x-4)² =5(2x²-2x-3x+3)

9x²+16-24x=10x²-25x+15

x²-x-1=0

x= { 1±√(1+4) }/2

x=( 1±√5) /2

Answer 2

Answer:

X = ( 1 ± √5 ) / 2

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