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Question 2 part b complete the square to rewrite the following equation into standard form show all work X^2+6x+y2-4y=-9

Question 2 Part B Complete The Square To Rewrite The Following Equation Into Standard Form Show All Work X26xy24y9 class=

Sagot :

Explanation

We are to write the equation of the circle in standard form

Given theequation:

[tex]x^2+6x+y^2-4y=-9[/tex][tex]\left(x−a\right)^2+\left(y−b\right)^2=r^2\:\:\mathrm{is\:the\:circle\:equation\:with\:a\:radius\:r,\:centered\:at}\:\left(a,\:b\right)[/tex]

Using completing the square method

[tex]\left(x-\left(-3\right)\right)^2+\left(y-2\right)^2=2^2[/tex]

Thus, we will have the answer to be

[tex](x+3)^2+(y-2)^2=2^2[/tex]

Where

[tex]\begin{gathered} (a,b)=(-3,2) \\ r=2 \end{gathered}[/tex]

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