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Compute the largest value of x that satisfies x^2 -10x + y^2 - 8y = 8

 Oct 22, 2021
 #1
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Solving for x using the quadratic formula, we get that the largest possible value of x is 15.

 Oct 22, 2021
 #2
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"Compute the largest value of x that satisfies x^2 -10x + y^2 - 8y = 8"

 

This can be rewritten as (x - 5)2 + (y - 4)2 = 72  

This is the equation of a circle of radius 7, centred on the point (5,4), so the largest value of x is 5 + 7 = 12.

 Oct 22, 2021

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