armandoponcedeleon armandoponcedeleon
  • 24-05-2024
  • Mathematics
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extracting square roots (7x-1)²=80

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olumideolawoyin
olumideolawoyin olumideolawoyin
  • 24-05-2024

Answer:

[tex]\frac{1 + 4 \sqrt{5} }{7}[/tex]

Step-by-step explanation:

(7x-1)² = 80 Take the square roots of both sides

7x - 1 = √80 = √16 ×√5

7x - 1 = 4√5 Add +1 to both sides

7x = 1 + 4√5 Divide both sides by 7

[tex]x = \frac{1 + 4 \sqrt{5} }{7} [/tex]

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