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What Can You Tell?

Algebra Level 1

If $x^2 - \dfrac1{x^2} = 100$ , what is the relationship between the two numbers,

$\left( x + \dfrac1x\right) \ \text{ and } \ \left( x - \dfrac1x \right) \; ?$

Their sum is 100 Their absolute difference is 100 Their product is 100 Their ratio is 100

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by Chung Kevin

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