Question

if x+1/x=5, then find x^2 +1/x^2
Any wrong answer will be reported immediately ​

Answer 1

Step-by-step explanation:

we recognize that SQUARING x gives us x², and SQUARING 1/x gives us 1/x², then we might try SQUARING both sides of our given equation.

That is: (x + 1/x)² = 5²

In other words: (x + 1/x)(x + 1/x) = 25

Use FOIL to expand: x² + 1 + 1 + 1/x² = 25

Simplify: x² + 2 + 1/x² = 25

Subtract 2 from both sides to get: x² + 1/x² = 23

Answer: E

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