Question

X 4+1/x 4=194,then x^3 - 1/x^3 =?

Answer 1

Answer:

$\frac{x^4+1}{x^4} =194\\\\x^4+1=194x^4\\\\193x^4=1\\\\x^4=\frac{1}{193}\\\\x=\frac{1}{\sqrt[4]{193} } \\\\\\ \frac{x^3 - 1}{x^3} \\\\\frac{(\frac{1}{\sqrt[4]{193} })^3-1 }{(\frac{1}{\sqrt[4]{193} }) ^3} \\\\\frac{\frac{1}{\sqrt{193} }-1 }{\frac{1}{\sqrt{193} }} \\\\\frac{\frac{1-\sqrt{193}}{\sqrt{193} } }{\frac{1}{\sqrt{193} }} \\\\\sqrt{193} (\frac{1-\sqrt{193}}{\sqrt{193} })\\\\1-\sqrt{193}$

Answer 2

Step-by-step explanation:

x

4

x

4

+1

=194

x

4

+1=194x

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193x

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=1

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4

193

1

x

3

x

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−1

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4

193

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3

(

4

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3

−1

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193

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−1

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1−

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193

(

193

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193