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If (x 1/x)= √5 then find the value of (x² 1/x²)?
Most Upvoted Answer
If (x 1/x)= √5 then find the value of (x² 1/x²)?
The given equation is:
(x + 1/x) = √5

To find the value of (x² + 1/x²), we need to square the given equation:
(x + 1/x)² = (√5)²
(x + 1/x)² = 5

Expanding the square:
(x + 1/x) * (x + 1/x) = 5
x² + 2 + 1/x² = 5

Simplifying the equation:
x² + 1/x² + 2 = 5
x² + 1/x² = 5 - 2
x² + 1/x² = 3

Therefore, the value of (x² + 1/x²) is 3.
Community Answer
If (x 1/x)= √5 then find the value of (x² 1/x²)?
(x 1/x)=√5
(x 1/x)²=(√5)²
x² 1/x²=(5½)²
x² 1/x²=5
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If (x 1/x)= √5 then find the value of (x² 1/x²)?
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