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Quadratic Functions, Equations and Inequalities - Sum and Product of Roots

Quadratic Functions, Equations and Inequalities - Sum and Product of Roots

IP 3
  1. Given that \(k\) and \(-5\) are the roots of the equation \({{x}^{2}}=6-mx\). Find the values of \(m\) and \(k\).
  2. Given that one of the roots of the equation \({{x}^{2}}+kx+27=0\) is three times the other root. Find the possible values of \(k\).

Solution:

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Answer:(i) \(m=\dfrac{19}{5},k=\dfrac65\). (ii) \(k=\pm12\).

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