Question

x^2 + 1/x^2 = 17/4 find the value of x

Answer 1

Answer:

Step-by-step explanation:

(X+1/x)²=x²+1/x²+2

(x+1/x)²=25/4

(x+1/x)=5/2

x²+1=5/2 x

x²-5/2 x+1=0

X²-1/2 x-2x+1=0

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

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

x=2,1/2