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Find the exact solution of x^2 + 5x +2=0

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cenicienta | Valedictorian

Posted April 18, 2012 at 1:30 AM via web

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Find the exact solution of x^2 + 5x +2=0

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted April 18, 2012 at 1:47 AM (Answer #1)

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The equation x^2 + 5x +2=0 has to be solved. The solutions of the quadratic equation ax^2 + bx + c = 0 are x1 = `(-b + sqrt(b^2 - 4ac))/(2a)` and x2 = `(-b - sqrt(b^2 - 4ac))/(2a)`

For x^2 + 5x +2=0

x1 = `(-5 + sqrt(25 - 8))/2`

=> `-5/2 + sqrt 17/2`

x2 = `-5/2 - sqrt 17/2`

The exact solutions of the equation x^2 + 5x +2=0 are` -5/2 + sqrt 17/2` and  `-5/2 - sqrt 17/2`

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