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Let a, b, c be the real roots of x^3 - 4x^2 - 32x + 17 = 0.  Solve for x in (x - a) + (x - b) + (x - c) = 0.

 Oct 30, 2022
 #1
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x = 27/4.

 Oct 30, 2022
 #2
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Guest, could you explain how you got that answer?
 

(x-a) + (x - b) + (x-c) = 3x - (a + b + c) = 0

a + b + c = 4 by vietas

 

3x = 4

x = 4/3.

 Oct 30, 2022

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