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What is the sum of all values of y for which the expression (y + 6)/(y^2 - 8y + 2) is undefined?

 Feb 22, 2021
 #1
avatar+37153 
+1

When denominator = 0    undefined 

roots =  4 +- sqrt 14          sum = 8    

 Feb 22, 2021
 #2
avatar+1223 
+1

We only care about the denominator: y^2 - 8y + 2.

 

The denominator can't be equal to 0, so we are looking for the roots of y^2 - 8y + 2 = 0.

 

From Vieta's formulas, the sum is -b/a = 8.

 Feb 22, 2021

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