Question

pls anwser fast it's very urgent ​

Answer 1

Step-by-step explanation:

using s.b.s method to get answer.

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Answer 2

$(i) \: m + \frac{1}{m} = 4 \\ = > (m + \frac{1}{m}) ^{2} = {4}^{2} \\ = > m ^{2} + \frac{1}{ {m}^{2} } + 2(m)( \frac{1}{m} ) = 16 \\ = > m ^{2} + \frac{1}{ {m}^{2} } + 2 = 16 \\ = > m ^{2} + \frac{1}{ {m}^{2} } = 14$

$(ii) \: m ^{2} + \frac{1}{ {m}^{2} } = 14 \\ = > ( m - \frac{1}{m} ) ^{2} + 2 = 14 \\ = > ( m - \frac{1}{m} ) ^{2} = 12 \\ = > ( m - \frac{1}{m} ) = \sqrt{12} \\ m - \frac{1}{m} = 2 \sqrt{3}$

$m ^{2} - \frac{1}{ {m}^{2} } = (m + \frac{1}{m} )(m - \frac{1}{m} ) \\ = > 4(2 \sqrt{3} ) \\ = > 8 \sqrt{3}$

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