Seudónimo Seudónimo
  • 08-09-2021
  • Mathematics
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It is known that y^24 − 256 = 0. Rewrite this equation in terms of x if x = y^4.

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Аноним Аноним
  • 08-09-2021

[tex]\\ \sf\longmapsto y^{24}-256=0[/tex]

[tex]\\ \sf\longmapsto (y^4)^6-256=0[/tex]

[tex]\\ \sf\longmapsto x^6-256=0[/tex]

Or

[tex]\\ \sf\longmapsto x^6=256[/tex]

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spammingallowed spammingallowed
  • 08-09-2021

Answer:

[tex] {y}^{24} - 256 = 0 \\ x = {y}^{4} \\ y = \sqrt[4]{x} = {x}^{ \frac{1}{4} } \\ then \: { {x}^{ \frac{1}{4} } }^{24} - 256 = 0 \\ {x}^{6} - 256 = 0 \\ {x}^{6 } = 256 \\ x = \sqrt[6]{256} = 2.5 \\ thank \: you[/tex]

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