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Quadratic Equations - Nature of Roots

Maths · Grade 10 · Week 16 · 25 questions

Algebra uses letters and symbols to represent numbers and relationships. This quiz builds your ability to work with expressions, equations, and unknown values — skills that are central to all higher mathematics.

What you'll practise

  • Simplify algebraic expressions
  • Solve equations with one variable
  • Translate word problems into equations
  • Apply algebraic rules correctly
All 25 questions in this Quadratic Equations - Nature of Roots quiz

Grade 10 MathsQuadratic Equations - Nature of Roots: 25 practice questions with instant scoring and explanations.

  1. Nature of roots of x² + 2x + 7 = 0 (D=-24):
  2. Nature of roots of 2x² + 6x - 7 = 0 (D=92):
  3. Nature of roots of x² - 2x + 6 = 0 (D=-20):
  4. Nature of roots of 2x² - 5x - 1 = 0 (D=33):
  5. Nature of roots of 2x² - 4x - 9 = 0 (D=88):
  6. Nature of roots of x² + 9x + 5 = 0 (D=61):
  7. Nature of roots of 2x² + 6x + 7 = 0 (D=-20):
  8. Nature of roots of x² - 8x - 10 = 0 (D=104):
  9. Nature of roots of x² - 6x - 9 = 0 (D=72):
  10. Nature of roots of 2x² - 2x + 5 = 0 (D=-36):
  11. Nature of roots of x² + 5x + 3 = 0 (D=13):
  12. Nature of roots of 3x² - 5x - 9 = 0 (D=133):
  13. Nature of roots of x² - 8x + 2 = 0 (D=56):
  14. Nature of roots of 2x² - 1x - 4 = 0 (D=33):
  15. Nature of roots of x² - 9x - 8 = 0 (D=113):
  16. Nature of roots of 3x² - 9x + 2 = 0 (D=57):
  17. Nature of roots of x² - 10x + 10 = 0 (D=60):
  18. Nature of roots of 3x² - 6x + 7 = 0 (D=-48):
  19. Nature of roots of 2x² - 9x - 8 = 0 (D=145):
  20. Nature of roots of 2x² + 3x - 8 = 0 (D=73):
  21. Nature of roots of 3x² - 6x - 2 = 0 (D=60):
  22. Nature of roots of x² - 2x + 2 = 0 (D=-4):
  23. Nature of roots of x² x + 10 = 0 (D=-40):
  24. Nature of roots of 2x² - 7x + 2 = 0 (D=33):
  25. Nature of roots of 3x² x - 7 = 0 (D=84):
Question 1 of 250 correct so far

Nature of roots of x² + 2x + 7 = 0 (D=-24):