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What is the vertex of x^2+10x=-17

 Aug 7, 2015

Best Answer 

 #1
avatar+21581 
+5

Writing this as a function:  y  =  x2 + 10x + 17

Now:                         y - 17  = x2 + 10x

Completing the square:

                       y - 17 + 25  =  x2 + 10x + 25

                                y + 8  =  (x + 5)2

The vertex  occurs at (-5, -8)

 Aug 7, 2015
 #1
avatar+21581 
+5
Best Answer

Writing this as a function:  y  =  x2 + 10x + 17

Now:                         y - 17  = x2 + 10x

Completing the square:

                       y - 17 + 25  =  x2 + 10x + 25

                                y + 8  =  (x + 5)2

The vertex  occurs at (-5, -8)

geno3141 Aug 7, 2015

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