Repeated root and equation construction

Repeated root and equation construction

Secondary 2
TGM Original Questions
  1. Given that \(x=\frac32\) is the only solution of \(4x^2-mx+n=0\), find \(m,n\).
  2. The roots of a quadratic are \(\frac43\) and \(-\frac52\). Write an equation \(ax^2+bx+c=0\) with integer coefficients and \(a\ne1\).

Solution:

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Answer:(a) \(m=12,n=9\); (b) \(6x^2+7x-20=0\).

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