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If a² - 3a -1 = 0 then find a² + 1/a²​

Answer»

a² - 3A -1= 0

a² - 1 = 3a

(a² - 1)/a = 3a/a. {DIVIDING the equation by a}

a - 1/a = 3

a² + 1/a² - 2 = (a-1/a)²

a² + 1/a² - 2 = (3)²

a² + 1/a² - 2 = 9

a² + 1/a² = 11



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