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ax^2 - 2bx +15 = 0 has a repeated root α. x^2 -2bx + 22 has roots α and β then α^2 + β^2 = ?

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ax2 - 2bx +15 = 0 has a repeated root α. x2 -2bx + 22 has roots α and β then α2 + β2 = ?

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Correct answer is 137/2

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