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If x = 3-2√2 , find x^2+1/x^2 |
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Answer» Answer: 34 Step-by-step x=3-2√2 x^2+1/x^2 =(3-2√2)^2+1/(3-2√2)^2 =9+8-12√2+1/9+8-12√2 =17-12√2+1/(17-12√2) =17-12√2+(17+12√2)/(17-12√2)(17+12√2) =17-12√2+(17+12√2)/17^2-(12√2)^2 =17-12√2+(17+12√2)/289-288 =17-12√2+17+12√2 =17+17 =34 |
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