Question

if x=3-2 root 2 , find x square - 1 ÷ x square​

Answer 1

Step-by-step explanation:

GIVEN

X=3-2√2

THEN

X²-1/X

=(3-2√2)²-1/3-2√2

=9+8-12√2-1/3-2√2*3+2√2/3+2√2

=17-12√2-[3+2√2/(3)²-(2√2)²]

=17-12√2-3-2√2/9-8

=17-12√3-3-2√2

=14-14√3

HOPE THIS HELPS YOU

if we have find x²-1/x²

then x²=(3-2√2)²

x²=9+8-12√2

x²=17-12√2 say eqn 1

now for 1/x²

1/17-12√2. from 1

=1/17-12√2*17+12√2/17+12√2

=17+12√2/17²-(12√2)²

=17+12√2/289+288

=17+12√2

say 2

since X2-1/x²

=17-12√2-(17+12√2) from 1 and 2

=17-12√2-17-12√2

=-24√2

hope this helps you

Answer 2

pls find the answer and explaination in the attached file

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