Sum and product of roots without solving

Sum and product of roots without solving

IB Year 6 | Grade 12

The roots of each of the following equations are \(\alpha\) and \(\beta\). Without solving, find the value of \(\alpha+\beta\) and of \(\alpha\beta\).

  1. \(x^2-5x-14=0\)
  2. \(3x^2-4x-9=0\)

Solution:

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Answer:(a) \(5,\ -14\) (b) \(\frac{4}{3},\ -3\)

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