Question

x^4+1/x^4=66 find x^2-1/x^2​

Answer 1

Answer:

${x}^{4} + \frac{1}{ {x}^{4} } = 66$

$=> {( {x}^{2} )}^{2} + {( \frac{1}{ {x}^{2} }) }^{2} = 66$

$=> {( {x}^{2} - \frac{1}{ {x}^{2} } )}^{2} + 2 \times {x}^{2} \times \frac{1}{ {x}^{2} } = 66$

$=> {( {x}^{2} - \frac{1}{ {x}^{2} }) }^{2} = 66 - 2$

$=> {( {x}^{2} - \frac{1}{ {x}^{2} } )}^{2} = 64$

$=> {x}^{2} - \frac{1}{ {x}^{2} } = \sqrt{64}$

$=> {x}^{2} - \frac{1}{ {x}^{2} } = ( + - )8$

[Note: (+-l) means ±]

Step-by-step explanation:

Hope it will help you.

Please give a thanks and mark as brainliest.