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The roots of the quadratic $x^2+8x+4$ are the same as the roots of the quadratic $Ax^2+Bx+1$. What is $A+B$?

 Apr 27, 2020
 #1
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A + B = 4/3.

 Apr 28, 2020
 #2
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You can rewrite  x2 + 8x + 4  as  4( ¼x2 + 2x + 1 )

 

If you graph   y  =  ¼x2 + 2x + 1,   it will have the same roots as  y  =  x2 + 8x + 4  (but it will not be otherwise congruent).

 

So:    A  =  ¼     and     B  =  2     and    A + B  =  9/4.

 Apr 28, 2020
 #3
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Thank u so much!

Guest Apr 29, 2020

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