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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
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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
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Correct answer: x = 2 or 3
(x - 2)(x - 3) = 0, so x = 2 or 3.
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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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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
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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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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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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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Solve 2x² - 8 = 0.
- 1 x = 4
- 2 x = 8
- 3 x = 2 or -2
- 4 x = 0
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Correct answer: x = 2 or -2
2x² = 8, x² = 4, x = plus or minus 2.
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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
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Correct answer: x = 2 or 5
(x - 2)(x - 5) = 0.
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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
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Correct answer: x = -1 or -3
(x + 1)(x + 3) = 0.
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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
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Correct answer: ax² + bx + c = 0
This is the standard form.
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Solve x² = 2x.
- 1 x = 2 only
- 2 x = 4
- 3 x = 0 or 2
- 4 x = 0 only
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Correct answer: x = 0 or 2
x(x - 2) = 0.
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