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Quadratic equations

Written by Hassan Raza (Mathematics)

10 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
    Show answer

    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
    Show answer

    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
    Show answer

    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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  7. Solve x² - 7x + 10 = 0.

    • 1 x = 1 or 10
    • 2 x = 2 or 5
    • 3 x = 7 or 3
    • 4 x = -2 or -5
    Show answer

    Correct answer: x = 2 or 5

    (x - 2)(x - 5) = 0.

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  8. Solve x² + 4x + 3 = 0.

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

    Correct answer: x = -1 or -3

    (x + 1)(x + 3) = 0.

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  9. The standard form of a quadratic equation is:

    • 1 ax² + bx + c = 0
    • 2 a/x = b
    • 3 ax³ + b = 0
    • 4 ax + b = 0
    Show answer

    Correct answer: ax² + bx + c = 0

    This is the standard form.

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  10. Solve x² = 2x.

    • 1 x = 2 only
    • 2 x = 4
    • 3 x = 0 or 2
    • 4 x = 0 only
    Show answer

    Correct answer: x = 0 or 2

    x(x - 2) = 0.

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