Math, asked by prantiksharma, 1 month ago

if x+1/x=2 prove that x2+1/x^2=x^3+1/x^3=x^4+1/x^4

Answers

Answered by ellilmaran10
0

Answer:

cant understnd

Step-by-step explanation:

Answered by Nishanth0376
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

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