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Quadratic Equation Test - 3

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Quadratic Equation Test - 3
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Weekly Quiz Competition
  • Question 1
    1 / -0

    Which of the following equations has real and distinct roots?

    Solution

    For real and distinct roots
    D = b2 - 4ac > 0

    (1) 25 - 20 > 0 Real and distinct roots
    (2) 144 - 16 > 0 Real and distinct roots
    (3) 25 - 8 > 0 Real and distinct roots

    All of the above

     

  • Question 2
    1 / -0

    Which of the following equations can be obtained after completing the square of x2 + 4x - 1 = 0?

    Solution

    x2 + 4x - 1 = 0
    (x +2)2 - 1 - 4 = 0
    (x + 2)2 = 5

     

  • Question 3
    1 / -0

    If the quadratic equation ax2 + bx + c = 0 has no real roots, then ______.

    Solution

    b2 - 4ac < 0

     

  • Question 4
    1 / -0

    What will be the discriminant of the given quadratic equation?
    x2 + 7x - 1 = 0

    Solution

    x2 + 7x - 1 = 0
    D = 49 - 4 (1) (- 1)
    = 53

     

  • Question 5
    1 / -0

    Which of the following equations can be obtained after completing the square of x2 - 10x + 5 = 0?

    Solution

    x2 - 10x + 5 = 0
    (x - 5)2 + 5 - 25 = 0
    (x - 5)2 = 20

     

  • Question 6
    1 / -0

    Which of the following equations has real and distinct roots?

    Solution

    5x2 - 11x - 12 = 0
    D = 121 - 4 (5) (- 12)

    = 121 + 240 = 361 > 0
    Hence real and distinct roots

     

  • Question 7
    1 / -0

    Which of the following equations has -1 as one of its solutions?

    Solution

    (x + 5)2 = 10
    x = - 1 satisfy this
    (- 1 + 5)2 = 42 = 16

     

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