if x+1/x=2 prove that x2+1/x^2=x^3+1/x^3=x^4+1/x^4
Answers
Answered by
0
Answer:
cant understnd
Step-by-step explanation:
Answered by
0
Answer:
x+
x
1
=2
To prove:-
x {}^{2} + \frac{1}{x {}^{2} } = x {}^{3} + \frac{1}{x {}^{3} } = x {}^{4} + \frac{1}{x {}^{4} }x
2
+
x
2
1
=x
3
+
x
3
1
=x
4
+
x
4
1
\huge\bf\orange{Solution:-}Solution:−
\begin{gathered}x {}^{2} + \frac{1}{x {}^{2} } = (x + \frac{1}{x} ) {}^{2} - 2 \times x \times \frac{1}{x} \\ = 2 {}^{2} - 2 \\ = 4 - 2 \\ = 2 \end{gathered}
x
2
+
x
2
1
=(x+
x
1
)
2
−2×x×
x
1
=2
2
−2
=4−2
=2
this is your answer it will help you
Similar questions
Chemistry,
29 days ago
Hindi,
29 days ago
Biology,
1 month ago
Social Sciences,
9 months ago
Physics,
9 months ago