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Determine the sum of all real numbers x satisfying (x^2 - 4x + 2) + (x^2 - 5x + 2) = 1.

 Feb 17, 2022
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(x^2 - 4x + 2) + (x^2 - 5x + 2) = 1  simplify as

 

2x^2 - 9x + 3  =   0

 

This will  have two real roots

 

In the form    ax^2  + bx + c ,  the sum of these =    -b / a    =     9 /  2

 

 

cool cool cool

 Feb 17, 2022

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