The roots of a quadratic equation are \(\frac{4}{3}\) and -\(\frac{3}{7}\). Find the equation

Mathematics WAEC 2016

The roots of a quadratic equation are \(\frac{4}{3}\) and -\(\frac{3}{7}\). Find the equation

  • 21x2 - 19x - 12 = 0 checkmark
  • 21x2 + 37x - 12 = 0
  • 21x2 - x + 12 = 0
  • 21x2 + 7x - 4 = 0

The correct answer is: A

Explanation

Let x = \(\frac{4}{3}\), x = -\(\frac{3}{7}\)

Then 3x = 4, 7x = -3

3x - 4 = 0, 7x + 3 = 0

(3x - 4)(7x + 3) = 0

21x2 + 9x - 28x - 12 = 0

21x2 - 19x - 12 = 0
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