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Question

x squared minus 12 x plus 35 equals 0
What is the sum of the solutions to the given equation?

  1. -35
  2. -12
  3. 12
  4. 35

The correct answer is: 12


    If the quadratic equation is of form a x squared plus b x plus c equals 0 .
    Then, the sum of roots can be expressed as open parentheses fraction numerator negative b over denominator a end fraction close parentheses.
    Given , x squared minus 12 x plus 35 equals 0 is the quadratic equation .
    Upon comparison a = 1, b = -12 , c = 35 .
    ∴We get the sum of roots = open parentheses fraction numerator negative b over denominator a end fraction close parentheses equals open parentheses 12 over 1 close parentheses equals 12

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