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The equation \(x^2 + y^2 + 10x - 8y = 59\) can be written in the form \((x - h)^2 + (y - k)^2 = r^2\), where \(h, k\), and \(r\) are integers. Find the value of \(r^2\).

 Mar 20, 2024
 #1
avatar+128794 
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x^2 + 10x  + y^2 - 8y =  59           complete the square on x, y

 

x^2 + 10x + 25 + y^2 - 8y + 16  =  59 + 25 + 16

 

(x + 5)^2  + ( y - 4)^2  =  100

 

r^2  = 100

 

 

cool cool cool

 Mar 20, 2024

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