Maths-
SAT
Easy

Question

x2 -14x + 40 = 2x + 1
What is the sum of the solutions to the given equation?

  1. -16
  2. -14
  3. 14
  4. 16

The correct answer is: 16


    x2 - 14x + 40 = 2x + 1
    x2 - 16x + 39 = 0
    In Quadratic equation ax2 + bx + c = 0, the sum of solutions = negative b over a
    Here a = 1, b = -16 and c = 39
    The sum of solutions equals fraction numerator negative b over denominator a end fraction equals fraction numerator negative left parenthesis negative 16 right parenthesis over denominator 1 end fraction equals 16.

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