Question

if 2(x^2+1) =5x then find x- 1/x and x^2-1/x^2
plz answer fast​

Answer 1

Step-by-step explanation:

2(x²+1)=5x

2x²+2=5x

2x²-5x+2=0

2x²-4x-x+2=0

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

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

x=1/2 or x=2

1/x=2 or 1/x=1/2

x-1/x= -3/2. or. x-1/x=3/2

x²-1/x²=1/4-4. or. x²-1/x²=4-1/4

= -15/4. =15/4