Given two quadratic equations \(x^2-x+m=0\) and \(x^2-x+3m=0,m\ne 0\). Find the value of m for w...

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Given two quadratic equations \(x^2-x+m=0\) and \(x^2-x+3m=0,m\ne 0\). Find the value of m for which one of the roots of the second equation is equal to double the root of the first equation.
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