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Solve log5 - x (x^2 – 6x + 65) = 2

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Solve log5 - x (x2 – 6x + 65) = 2

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log5 - x (x2 – 6x + 65) = 2 

⇒ x2 – 6x + 65 = (5 – x)2 

x2 – 6x + 65 = 25 + x2 – 10x 

⇒ x2 – 6x + 65 – 25 – x2 + 10x = 0

4x + 40 = 0 ⇒ 4x = -40 

x = -10

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