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Question
α, β are roots of y2 – 2y –7 = 0 find,
α3 + β3
Solution
α, β are roots of y2 – 2y –7 = 0
\[a = 1, b = - 2, c = - 7\]
\[ = \left( 2 \right)^3 - 3\left( - 7 \right)\left( 2 \right)\]
\[ = 8 + 42\]
\[ = 50\]
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