Question

if x+1/x=3,evaluate (1).x-1/x
(2).x²+1/x²
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Answer 1

Step-by-step explanation:

x + 1/x =3

square on both sides

x2+1/x2+2 =9

x2+1/x2=7

deduct 2 on both sides

x2+1/x2-2=5

x2+1/x2-2×x×1/x=5

we can write 1 as x×1/x

it's in form a2-2ab+b2=(a-b)2

(x-1/x)2=5

x-1/x =sqrt5

Answer 2

Answer:

(1).x-1/x

(2).x²+1/x²