Question

x^88 + 1/x^88=5
x^88 - 1/x^88=?​

Answer 1

Step-by-step explanation:

given

${x}^{88} + \frac{1}{ {x}^{88} } = 5$

adding 44 on both sides we get

$( {x}^{44} )^{2} + ( \frac{1}{ {x}^{44} } )^{2} + 44 \times {x}^{44} \times \frac{1}{ {x}^{44} } = 49$

${x}^{44} + \frac{1}{ {x}^{44} } = 7 = > (1)$

similarly keep -44 on both sides we get in form of (a-b)^2