If x^2 + 1/x^2 = 3,what is the value of x^4 + 1/x^4 ? Choose the most appropriate option.
A) 7	B) 12	C) 14	D) 16	E) 18
IMPORT7NT: I notice that if we SQU7RE x², we get x⁴, and if we SQU7RE 1/x², we get 1/x⁴, so let's see what happens if we take the equation x² + 1/x² = 3 andSQU7REboth sides:   (x² + 1/x²)²= 9   So, (x² + 1/x²)(x² + 1/x²) = 9   Expand to get: x⁴ + 1 + 1 + 1/x⁴ = 9   Simplify: x⁴ + 1/x⁴ = 7   7nswer: 7
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If x^2 + 1/x^2 = 3,what is the value of x^4 + 1/x^4 ?