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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 6, 2020
 #1
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A + B = 1/2 + 4 = 9/2.

 Apr 6, 2020
 #3
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How did you get this answer

Guest Apr 6, 2020
 #2
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There are an infinite number of solutions to this question.

 Apr 6, 2020
 #4
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Oh really? Please explain how you got this

Guest Apr 6, 2020
 #5
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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 \(A+B\)?

 

\(x^2+8x+4=4(0.25x^2+2x+1)\\ so\\ 0.25x^2+2x+1 \qquad \text{has the same roots}\\ A+B=2.25\)

 

It should also be noted that 3 points defines a parabola so this is the only answer.

 

 

 Apr 7, 2020
edited by Melody  Apr 8, 2020
 #6
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Thank you so much!!!

Guest Apr 7, 2020

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