quiaramyrick8 quiaramyrick8
  • 24-09-2018
  • Mathematics
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What is the standard form of the equation below?

What is the standard form of the equation below class=

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apocritia
apocritia apocritia
  • 03-10-2018

Solution:

we are given with the equation

[tex]x^2+y^2-2x-4y=4[/tex]

This equation can be written in the standard form as below

[tex]x^2-2\times x\times 1+1^2+y^2-2\times y \times 2+2^2-1^2-2^2=4\\\\(x-1)^2+(y-2)^2-5=4\\\\(x-1)^2+(y-2)^2=5+4\\\\(x-1)^2+(y-2)^2=9\\[/tex]

Hence the required equation in standrad form is [tex] (x-1)^2+(y-2)^2=9\\[/tex]

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