\(2\) Similar Quadratics

Algebra Level 2

Let \(m\) and \(n\) be the two roots of the equation \(x^2+ax+b=0,\) where \(a\) and \(b\) are constants. If the two roots of \(x^2-bx+a=0\) are \(m+14\) and \(n+14,\) what is the value of \(a+b?\)

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