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The roots of x^2 + 8x + 4 = 0 are the same as the roots of 2x^2 + Ax + B = 0. What is A + B?

 Jan 23, 2022
 #1
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We don't need to directly find the roots of the first equation.

 

We can multiply the first equation by 2 to get the second equation.

 

This yields: \(2x^2 + 16x + 8 = 0\) ,

so A + B = 24.

 

smiley

 Jan 23, 2022

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