Question

If x = (7+3√5)/(7-3√5) ,find the value of x2 + 1/ x2

Answer 1

Answer:

257/16

Step-by-step explanation:

We have a formula that (a+b)(a-b)=a²-b²

(7+3√5)(7-3√5)=(7)²-(3√5)²=49-45=4

x=4

x²=16

x² + 1/x² = 16 +1/16 = 257/16

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