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If x= 3−√13/2 , what is the value of x power of 2 + 1/ to the power 2 |
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Answer» Answer: x= 3− 13
and x
= 3− 13
2
. We know, (x+ x 1
) 2 =x 2 + x 2
1
+2 and x 2 + x 2
1
=(x+ x 1
) 2 −2. Now, x+ x 1
= 2 3− 13
+ 3− 13
2
= 2(3− 13
) (3− 13
) 2 +4
= 2(3− 13
) 9+13−6 13
+4
= 2(3− 13
) 26−6 13
= 2(3− 13
) 2 13
( 13
−3)
. So x+ x 1
=−2 13
and (x+ x 1
) 2 =4×13=52. x 2 + x 2
1
=(x+ x 1
) 2 −2 =52−2=50. |
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