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What is the solution of f(x) = 0 if f(x) = 9x^2 + 18x + 3

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xetabeta | Student, Kindergarten | Salutatorian

Posted February 15, 2013 at 6:21 PM via web

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What is the solution of f(x) = 0 if f(x) = 9x^2 + 18x + 3

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted February 15, 2013 at 6:27 PM (Answer #1)

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The function f(x) = 9x^2 + 18x + 3. The solution of f(x) = 0 is the same as that of 9x^2 + 18x + 3 = 0

9x^2 + 18x + 3 = 0

=> 3x^2 + 6x + 1 = 0

=> x1 = `(-6 + sqrt(36 - 12))/6` and x2 = `(-6 - sqrt(36 - 12))/6`

=> x1 = `-1 + sqrt(24)/6` and x2 = `-1 - sqrt 24/6`

=> x1 = `-1 + sqrt6/3` and x2 = `-1 - sqrt 6/3`

The solutions of f(x) = 0 are `-1 + sqrt6/3` and `-1 - sqrt 6/3`

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