Question

if x = 3 + 2√2 the value of x^2 + 1/x^2

Answer 1

Answer:

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Step-by-step explanation:

If x = 3 +2√2, then 1/x = 1/(3+2√2) =(3–2√2), because 3^2 -(2√2)^2 =9–8=1. Hence x^2 +(1/x^2) = [x+(1/x)]^2 -2 = 6^2 -2 =36 -2 = 34.

Answer 2

If x = 3 +2√2, then 1/x = 1/(3+2√2) =(3–2√2), because 3^2 -(2√2)^2 =9–8=1. Hence x^2 +(1/x^2) = [x+(1/x)]^2 -2 = 6^2 -2 =36 -2 = 34.