Question

if a≠0 and a-1/a=4;find:i)a²+1/a² ii)a⁴+1/a⁴ iii)a³-1/a³

Answer 1

hence
a-1/a =4
aftersquaring both side
$(a- \frac{1}{a} )^{2} =4^2$

$= {a}^{2} + \frac{1}{ {a}^{2} } - 2(a)( \frac{1}{a} ) = 16$

${a}^{2} + \frac{1}{{a}^{2} } -2 = 16$
${a}^{2} + \frac{1}{ {a}^{2} } = 16 + 2 = 18$
by this process you can get it answer if you can not got it then comment me

Answer 2

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