cabriantenpenny
cabriantenpenny cabriantenpenny
  • 03-10-2018
  • Mathematics
contestada

Find the solutions of the given equation.

25x^2+64=289

Find the solutions of the given equation 25x264289 class=

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Luv2Teach
Luv2Teach Luv2Teach
  • 07-06-2019

Answer:

D

Step-by-step explanation:

Start by subtracting 64 from both sides:

[tex]25x^2=225[/tex]

Factor this by taking roots.  Divide both sides by 25 first:

[tex]x^2=9[/tex]

We "undo" a square by taking the square roots of both sides.  Taking the square root leaves the possibilities of both the positive and negative roots of 9.  Therefore, the solutions to this are

[tex]x=\sqrt{3},-\sqrt{3}[/tex]

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