bryceisabeast4994 bryceisabeast4994
  • 21-05-2020
  • Mathematics
contestada

Complete the square to find the center and radius of each.. Full explanation and work Please..x2+y2+8x+8y=0

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shallomisaiah19
shallomisaiah19 shallomisaiah19
  • 22-05-2020

Answer:

Therefore the center of circle is (-4,-4) and the radius is [tex]4\sqrt{2} =5.66[/tex]

Step-by-step explanation:

[tex]x^{2} +y^{2}+8x+8y=0[/tex]

Rearrange the terms,

[tex]x^{2} +8x+y^{2}+8y=0[/tex]

Using completing the square method,

[tex](x+\frac{8}{2} )^{2} - (\frac{8}{2})^{2} + (y+\frac{8}{2} )^{2} - (\frac{8}{2})^{2} =0[/tex]

Simplify,

[tex](x+4 )^{2} -16 + (y+4)^{2} -16 =0\\\\(x+4 )^{2} + (y+4)^{2}= (4\sqrt{2})^{2}[/tex]

Therefore the center of circle is (-4,-4) and the radius is [tex]4\sqrt{2} =5.66[/tex]

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