Question

if x - 1 / x = 3 / 4 , find ( x square + 1 / x square ) = ?​

Answer 1

Answer:

+x1=3−22+3−221

+x1=3−22+3−221x1=3−221×3+223+22

+x1=3−22+3−221x1=3−221×3+223+22 =13+22

+x1=3−22+3−221x1=3−221×3+223+22 =13+22x+x1

+x1=3−22+3−221x1=3−221×3+223+22 =13+22x+x1=3−22+3+22

+x1=3−22+3−221x1=3−221×3+223+22 =13+22x+x1=3−22+3+22 

+x1=3−22+3−221x1=3−221×3+223+22 =13+22x+x1=3−22+3+22 =6

+x1=3−22+3−221x1=3−221×3+223+22 =13+22x+x1=3−22+3+22 =6Squaring on both sides, 

+x1=3−22+3−221x1=3−221×3+223+22 =13+22x+x1=3−22+3+22 =6Squaring on both sides, (x+x1)2=36

+x1=3−22+3−221x1=3−221×3+223+22 =13+22x+x1=3−22+3+22 =6Squaring on both sides, (x+x1)2=36x2+x21=36−2

+x1=3−22+3−221x1=3−221×3+223+22 =13+22x+x1=3−22+3+22 =6Squaring on both sides, (x+x1)2=36x2+x21=36−2⇒x2+x21

Squaring on both sides,

Squaring on both sides,(x2+x21)2=(34)2

Squaring on both sides,(x2+x21)2=(34)2x4+x41=1156−2

Squaring on both sides,(x2+x21)2=(34)2x4+x41=1156−2⇒x4+x41=1154.

Step-by-step explanation:

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Answer 2

Answer:

(x-1/x)^2=x^2+1/x^2-2

(3/4)^2=x^2+1/x^2-2

9/16+2=x^2+1/x^2

9+32/16=x^2+1/x^2

41/16=x^2+1/x^2

Step-by-step explanation:

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