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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 \(p\) and \(-9\) are the roots of the equation \({{x}^{2}}+7x=2q\). Find the value of \(p\) and \(q\).
  2. Given that \(4\) and \(a\) are the roots of the equation \({{x}^{2}}-bx=6\). Find the value of \(a\) and \(b\).

Solution:

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Answer:(i) \(p=2,q=9\). (ii) \(a=-\dfrac32,b=\dfrac52\).

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