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Mathematics
11th -
12thgrade
Quadratic equations - Nature of the Roots
20 questions
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- 1. Multiple Choice
The discriminant is...
ax2 + bx + c
b2 + 4ac
b2 - 4ac
b - 4ac
- 2. Multiple Choice
If the discriminant is equal to -7 the roots will be...
Real, rational & equal
Real, rational & different
Real, irrational & different
Non-real & different
- 3. Multiple Choice
If the discriminant is equal to 0 the roots will be...
Real, rational & equal
Real, rational & different
Real, irrational & different
Non-real & different
- 4. Multiple Choice
If the discriminant is equal to 49 the roots will be...
Real, rational & equal
Real, rational & different
Real, irrational & different
Non-real & different
- 5. Multiple Choice
The roots of x2 + 3x - 1 = 0 will be
Real, rational & equal
Real, rational & different
Real, irrational & different
Non-real & different
- 6. Multiple Choice
The roots of 4x2 - 1 = 0 will be
Real, rational & equal
Real, rational & different
Real, irrational & different
Non-real & different
- 7. Multiple Choice
The roots of x2 -11x +28 = 0 will be
Real, rational & equal
Real, rational & different
Real, irrational & different
Non-real & different
- 8. Multiple Choice
If δ > 0
Real, rational & equal
Real & different
Non-real & different
- 9. Multiple Choice
The roots of x2 + 35x = 105 will be
Real, rational & equal
Real, rational & different
Real, irrational & different
Non-real & different
- 10. Multiple Choice
An equation will have REAL roots if...
δ = 0
δ ≥ 0
δ > 0
δ < 0
- 11. Multiple Choice
If δ < 0
Real, rational & equal
Real & different
Non-real & different
- 12. Multiple Choice
The roots of 7x2 + 3x + 1 = 0 will be
Real, rational & equal
Real, rational & different
Real, irrational & different
Non-real & different
- 13. Multiple Choice
The roots of 2x2 + 9x = -4 will be
Real, rational & equal
Real, rational & different
Real, irrational & different
Non-real & different
- 14. Multiple Choice
If δ = 0
Real, rational & equal
Real & different
Non-real & different
- 15. Multiple Choice
The roots of x2 = 5x will be
Real, rational & equal
Real, rational & different
Real, irrational & different
Non-real & different
- 16. Multiple Choice
An equation will have NON-REAL roots if...
δ = 0
δ ≥ 0
δ > 0
δ < 0
- 17. Multiple Choice
The roots of x2 = 5x - 10 will be
Real, rational & equal
Real, rational & different
Real, irrational & different
Non-real & different
- 18. Multiple Choice
The roots of x2 + 5x + 6 = 0 will be
Real, rational & equal
Real, rational & different
Real, irrational & different
Non-real & different
- 19. Multiple Choice
The roots of x2 = 0 will be
Real, rational & equal
Real, rational & different
Real, irrational & different
Non-real & different
- 20. Multiple Choice
Determine the value of the discriminant and name the nature of the solution for the following:
x2 + 2x - 63
256 - 2 different, Real & Rational roots
√(-256) - 2 different non-Real roots
√(137) - 2 different Real & Irrational roots
123 - 2 different Real & Rational roots
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