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Question

If α, β are the roots of the equation x2 + 15x + 17 = 0, find (αβ)2.


A

147

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B

138

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C

157

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D

128

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Solution

The correct option is C

157


(αβ)2 = (α+β)2 - 4αβ

α + β = -15 αβ = 17

(αβ)2 = 152 - 4 × 17

= 225 - 68

= 157


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