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Let a and b be the roots of the quadratic 2x^2 - 8x + 7 = x^2 - 14x + 2. Compute a^3/b^3 + b^3/a^3.

 Apr 1, 2024
 #1
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Simplify as

 

x^2 + 6x + 5 =  0             factor as

(x + 3)(x + 2)  = 0

 

The roots are   -3 and  -2

 

(-3)^3 / (-2)^3   +  (-2)^3 / (-3)^3   =

 

27 / 8  + 8 / 27   =

 

793 /  216

 

cool cool cool

 Apr 1, 2024

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