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The quadratic 2x^2 - 3x + 29 has two imaginary roots. What is the sum of the squares of these roots? Express your answer as a decimal rounded to the nearest hundredth.

 Jan 24, 2022
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From Vieta

r1r2 =29/2

r1+r2 = - -3/2 = 3/2

 

( r1+r2)^2 = (3/2 )2 =  r1^2 + r2^2  + 2r1r2

                =  9/4 = r1^2 + r2^2 + 2(29/2)

                 r1^2 + r2^2  = 9/4 - 29 = -107/4    

 Jan 24, 2022

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