Question

if x = 3+2root2 ,find the value of x2+1/x2=18​

Answer 1

Answer:

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Step-by-step explanation:

then the find the value of x = 3+ 2√2

thus x²+1/x² = 18

= x² + 1 = 18x²

= 17x² - 1

= 17(9 + 8 + 12√2) - 1

= 17(17+12√2)-1

= 288 + 204√2

= 4(72+54√2)

= 8 ( 36+27√2)