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Quadratic Equations

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Question: The sum of the squares of two consecutive positive integers exceeds their product by 91. Find the integers?
  • 1. 9, 10
  • 2. 10, 11
  • 3. 11, 12
  • 4. 12, 13
Question: If the roots of the equation 2x2– 5x + b = 0 are in the ratio of 2:3, then find the value of b?
  • 1. 3
  • 2. 4
  • 3. 5
  • 4. 6
Question: The sum and the product of the roots of the quadratic equation x(power 2) + 20x + 3 = 0 are?
  • 1. 10, 3
  • 2. -10, 3
  • 3. -20, 3
  • 4. -10, -3
Question: If the roots of a quadratic equation are 20 and -7, then find the equation?
  • 1. x2 + 13x – 140 = 0
  • 2. x2 – 13x + 140 = 0
  • 3. x2 – 13x – 140 = 0
  • 4. x2 + 13x + 140 = 0
Question: The roots of the equation 3x2– 12x + 10 = 0 are?
  • 1. rational and unequal
  • 2. complex
  • 3. real and equal
  • 4. irrational and unequal
Question: Find the roots of the quadratic equation: 2×2 + 3x – 9 = 0?
  • 1. 3, -3/2
  • 2. 3/2, -3
  • 3. -3/2, -3
  • 4. 3/2, 3
Question: Find the roots of the quadratic equation: x2 + 2x – 15 = 0?
  • 1. -5, 3
  • 2. 3, 5
  • 3. -3, 5
  • 4. -3, -5

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