1.

If x = 3-2√2 , find x^2+1/x^2​

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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