4. If x = ✓3 - ✓2, find the value of :
1
-
(1) x +1/x
(ii) x2+1/x2
(iii) x3 +1/x3
Answers
Answered by
1
Answer:
x=3+
3
x
2
=(3+
8
)
2
=9+8+6
8
=17+6
8
x
2
+
x
2
1
=(3+
8
)
2
+
(3+
8
)
2
1
⇒17+6
18
+
17+6
8
1
⇒
17+6
8
(17+6
8
)
2
+1
×
(17−6
8
)
(17−6
8
)
⇒
289−288
(17+6
18
)
2
(17−6
8
)+(17−6
8
)
⇒(289−288)(17+6
8
)+17−6
8
⇒17+6
8
+17−6
8
=34
Answered by
6
Question :-
Write the coefficients of x2 in each of the following -
(i) 2 + x^2 + x
(ii) 2 – x^2 + x3
(iii) (π/2)x^2 + x
(iv) √2x – 1
Answer :-
(i) The given polynomial is 2 + x^2 + x.
The coefficient of x^2 is 1.
(ii) The given polynomial is 2 – x^2 + x^3.
The coefficient of x^2 is -1.
(iii) The given polynomial is (π/2)x^2 + x.
The coefficient of x^2 is π/2.
(iv) The given polynomial is √2 x – 1.
The coefficient of x/2 is 0.
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