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There exist constants a, h and k such that

x^2 + 12x + 4 = a(x - h)^2 + k

for all real numbers x.  Enter the ordered triple (a,h,k).

 Feb 4, 2021
 #1
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x^2 + 12x   +   4            complete the square on x

 

Take 1/2 of 12 =  6.....square it....=36 ....   add and subtract it

 

x^2 + 12x  + 36   +  4   - 36      factor the  first three terms, simlify the rest

 

(x + 6)^2  - 32

 

(a, h, k)  =  ( 1, 6 , -32 )

 

 

cool cool cool

 Feb 4, 2021

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