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Quadratic Equation Test - 4

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Quadratic Equation Test - 4
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  • Question 1
    1 / -0

    Which of the following quadratic equations has 0 as discriminant?

    Solution

    x2 + 4x + 4 = 0
    D = 16 - 4 x 4
    = 16 - 16 = 0

     

  • Question 2
    1 / -0

    Which of the following equations has 8 as one of its solutions?

    Solution

    (2x - 5)2 = 121
    x = 8 satisfies this
    (2 x 8 - 5)2 = (16 - 5)2 = 112 = 121

     

  • Question 3
    1 / -0

    Which of the following equations has no real roots?

    Solution

    7x2 - 3x + 5 = 0
    D = 9 - 140
    = - 131 hence no real roots.

     

  • Question 4
    1 / -0

    Which of the following equations has 56 as discriminant?

    Solution

    (1) D = 16 - 56 = - 40
    (2) D = 64 + 8 = 72
    (3) = 64 - 8 = 56

     

  • Question 5
    1 / -0

    Which of the following equations has equal roots?

    Solution

    x2 + 4x + 4 = 0
    D = 16 - 16 = 0 has equal roots.

     

  • Question 6
    1 / -0

    What will be the discriminant of the given quadratic equation?
    x2 + x + 1 = 2

    Solution

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

     

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