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Help I dont know what to do here

 

The roots of Ax^2+Bx+1 are the same as the roots of (x - 2)(x + 2).  What is A+B?

 Dec 15, 2023
 #1
avatar+126978 
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The roots  of   (x-2)(x + 2)  =     2,-2

 

The sum  of the roots  of Ax^2  + Bx  + 1 =   -B/A

So  the sum of 2 + -2  = 0

Which means that B  = 0

 

The product of the roots   of Ax^2 + Bx + 1  = (2(-2))  = - 4  =  C / A  =   1 /A  

 

So

 

1/A  = - 4

-1/4  = A

 

So

 

A + B =      -1/4 + 0  =  -1/4

 

 

cool cool cool

 Dec 15, 2023

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