Question

if q+1/q=6 show that q²+1/q²=34​

Answer 1

Step-by-step explanation:

$\frac{q+1}{q} = 6$

Now squaring both sides,

$(\frac{q+1}{q} )^{2} =( 6) ^{2}$

$( \frac{ {q}^{2} + 2q + 1}{q ^{2}}) = 36$

$\frac{{q}^{2} + 2q + 1}{q} = 36 {q}$

$\frac{ {q }^{2} + 1}{q} = 36q - 2q$

$\frac{ {q}^{2} + 1}{q} = 34q$

$\frac{ {q}^{2} + 1 }{ {q}^{2} } = 34$

Hence proved,

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