viperbubbles viperbubbles
  • 12-06-2022
  • Mathematics
contestada

Solve (v + 2)² − 24 = 0 where v is a real number.

Respuesta :

jimrgrant1 jimrgrant1
  • 12-06-2022

Answer:

v = - 2 ± 2[tex]\sqrt{6}[/tex]

Step-by-step explanation:

(v + 2)² - 24 = 0 ( add 24 to both sides )

(v + 2)²= 24 ( take square root of both sides )

v + 2 = ± [tex]\sqrt{24}[/tex] = ± [tex]\sqrt{4(6)}[/tex] = ± ([tex]\sqrt{4}[/tex] × [tex]\sqrt{6}[/tex] ) = ± 2[tex]\sqrt{6}[/tex] ( subtract 2 from both sides )

v = - 2 ± 2[tex]\sqrt{6}[/tex]

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