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Module 1. Mathematics

A quadratic equation has the real roots x=6 and x=9. Determine the equation which is satisfied by these roots.

  • x^2 -54x+15=0
  • x^2 -15x+54=0
  • x^2 +15x-15=0

Explanation

A quadratic with roots 6 and 9 is (x - 6)(x - 9) = 0. Expanding gives x^2 - 15x + 54 = 0, where 15 is the sum of the roots and 54 is their product.

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