Question

Solve if x^2+1/x^2=23 then find (x^2-1/x^2)
Plz tell the and of this...............
Plz

Answer 1

Answer:

(±5+√21)/2, ±5√21

Step-by-step explanation:

x^2+1/x^2=23

Having this in hand we can find:

(x+1/x)^2= x^2+1/x^2+2=23+2=25 =>x+1/x=±5

(x-1/x)^2= x^2+1/x^2-2=23-2=21 => x-1/x=√21

If we add up above results, find the value of x: x=(±5+√21)/2

Using above we can find x^2-1/x^2

x^2-1/x^2=(x+1/x)(x-1/x)=±5√21

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