Question

x + 1/x= 2.5
solve the equation using factorisation method.​

Answer 1

Step-by-step explanation:

x+1/x= 5/2

x²+1 = (5/2)x

2x²+ 2 = 5x

2x²-5x +2 = 0

2x²-4x-1x+2=0

2x(x-2)- 1(x-2)=0

(x-2)(2x-1)= 0

Therefore,

x = 2 or. x = 1/2