Sum and product with fractional coefficients

Sum and product with fractional coefficients

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. \(\dfrac{1}{4}x^2-x-\dfrac{3}{4}=0\)
  2. \(\dfrac{2}{3}x^2+2x-\dfrac{1}{2}=0\)

Solution:

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

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