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Question

If α and β are the roots of x2+5x=0 then find
(i) α3+β3
(ii) α2+β2.

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Solution

x2+5x=0

x2+5x=0

x(x+5)=0

x=0,5

α=0,β=5

α3+β3

=03+(5)3

=125

α2+β2

=02+(5)2

=25

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