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If x=2 and x=3 are roots of the equation...

If x=2 and x=3 are roots of the equation `3x^(2)-mx+2n=0`, then find the values of m and m.

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To solve the problem, we need to find the values of \( m \) and \( n \) given that \( x = 2 \) and \( x = 3 \) are roots of the quadratic equation \( 3x^2 - mx + 2n = 0 \). ### Step-by-Step Solution: 1. **Write the Quadratic Equation in Factored Form:** Since \( x = 2 \) and \( x = 3 \) are roots, we can express the quadratic equation as: \[ a(x - 2)(x - 3) = 0 ...
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