Samyukta
Samyukta
24-10-2021
Mathematics
contestada
If X=3+√8, find X square + 1/x square
Respuesta :
VirαtKσhli
VirαtKσhli
24-10-2021
Given
:
-
x = 3 + √8
To
find
:
-
x² + 1/x²
Solu
t
ion
:
-
According
to
Question
,
x = 3 + √8
1/x = 1/3-√8
1/x = 1(3+√8)/(3+√8)(3-√8)
1/x = 3+√8/3²-(√8)²
1/x = 3+√8/9-8
1
/
x
=
3
+
√
8
So
that
,
x² + 1/x²
(x + 1/x)² - 2
( 3+√8+3-√8)²-2
9² - 2
81 - 2
7
9
Answer Link
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