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The graph of the curve (y = 2x^2 – 5x – 1) and a straight…

The graph of the curve (y = 2x^2 – 5x – 1) and a straight line PQ were drawn to solve the equation (2x^2 – 5x + 2 = 0)
What is the equation of the straight line PQ?

  • A.
    y = -1
  • B.
    y = 1
  • C.
    y = 3
  • D.
    y = -3
Correct Answer: Option D
Explanation

Let the straight line PQ = y

2x(^2) – 5x – 1 – y = 2x(^2) – 5x + 2

y = 2x(^2) – 5x – 1 – 2x(^2) + 5x – 2 

y = -3