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Quadratic equations

6 Class 10 Mathematics questions with answers and explanations.

Printable worksheet with answer key

All questions with answers
  1. Solve x2 - 5x + 6 = 0.

    • 1 x = 2 or 3
    • 2 x = 1 or 6
    • 3 x = 5 or 1
    • 4 x = -2 or -3
    Show answer

    Correct answer: x = 2 or 3

    (x - 2)(x - 3) = 0, so x = 2 or 3.

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  2. The roots of x2 = 16 are:

    • 1 4 and -4
    • 2 -4 only
    • 3 8
    • 4 4 only
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    Correct answer: 4 and -4

    x = plus or minus 4.

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  3. The quadratic formula gives x equal to:

    • 1 (b plus or minus 2ac) / 4
    • 2 -b / 2a only
    • 3 (-b plus or minus the square root of (b2 - 4ac)) / 2a
    • 4 (-b plus or minus the square root of (b2 + 4ac)) / a
    Show answer

    Correct answer: (-b plus or minus the square root of (b2 - 4ac)) / 2a

    This is the standard formula for ax2 + bx + c = 0.

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  4. Solve x2 + 2x - 8 = 0.

    • 1 x = 1 or -8
    • 2 x = 2 or -4
    • 3 x = -2 or 4
    • 4 x = 8 or -1
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    Correct answer: x = 2 or -4

    (x + 4)(x - 2) = 0.

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  5. Which of these is a quadratic equation?

    • 1 x2 + 2x + 1 = 0
    • 2 2x + 3 = 0
    • 3 1/x = 2
    • 4 x3 = 8
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    Correct answer: x2 + 2x + 1 = 0

    A quadratic equation has highest power 2.

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  6. Solve 2x2 - 8 = 0.

    • 1 x = 4
    • 2 x = 8
    • 3 x = 2 or -2
    • 4 x = 0
    Show answer

    Correct answer: x = 2 or -2

    2x2 = 8, x2 = 4, x = plus or minus 2.

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