dahwch28 dahwch28
  • 20-11-2017
  • Mathematics
contestada

What is the value of a, if a2 – 64 = 0 and a > 0? A) 0 B) 4 C) 8 D) 16

Respuesta :

ramenmcdonald
ramenmcdonald ramenmcdonald
  • 20-11-2017
a2 - 64 = 0
a2 = 64
a = 32

32>0
Answer Link
carlos2112
carlos2112 carlos2112
  • 18-04-2020

Answer:

C) 8

Step-by-step explanation:

Let's solve for:

[tex]a^2 -64=0\\\\a>0[/tex]

Add 64 to both sides:

[tex]a^2-64+64=0+64\\\\a^2=64[/tex]

Take the square root of both sides

[tex]\sqrt{a^2} = \sqrt{64} \\\\a=\pm 8[/tex]

Therefore, we got two solutions:

[tex]a=8\\\\or\\\\a=-8[/tex]

However, since:

[tex]a>0[/tex]

The only solution is:

[tex]a=8[/tex]

Answer Link

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