Grade 11 Mathematics: Nature of Roots Questions and Answers for Revision

Grade 11 Mathematics: Nature of Roots Questions and Answers for Revision

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Grade 11 Mathematics: Nature of Roots Questions and Answers for Revision

Grade 11 Mathematics: Nature of Roots Questions and Answers for Revision The Nature of Roots of Quadratic Equations is one of the subjects covered in Grade 11 Mathematics. Equations of the form ax2 + bx + c = 0, where a, b, and c are constants and x is the variable, are known as quadratic equations. The discriminant, which is equal to b2 – 4ac, can be used to analyze the kind of roots in a quadratic equation.

Depending on the value of the discriminant, one of three scenarios could apply to the nature of the roots of a quadratic equation:

  1. If the discriminant is positive (i.e., b^2 – 4ac > 0), then the quadratic equation has two real and distinct roots. This means that the equation has two different solutions, which can be calculated using the quadratic formula: x = (-b ± √(b^2 – 4ac)) / 2a.
  2. If the discriminant is zero (i.e., b^2 – 4ac = 0), then the quadratic equation has one real root. This means that the equation has only one solution, which can be calculated using the formula: x = -b / 2a.
  3. If the discriminant is negative (i.e., b^2 – 4ac < 0), then the quadratic equation has two complex roots. This means that the equation has no real solutions, but instead has two complex solutions in the form x = (-b ± i√(4ac – b^2)) / 2a, where i is the imaginary unit (√(-1)).

Knowing the nature of the roots of a quadratic equation can be helpful in a number of different applications, such as in engineering, physics, and finance. It can also be useful in solving problems related to geometry and other areas of mathematics.

Grade 11 Mathematics: Nature of Roots Questions and Answers for Revision

How to Pass Mathematics  Grade 11 with distinctions

One of the most significant accomplishments in your academic career is passing matric. It provides access to a wide range of post secondary options and employment possibilities. Use our best study advice to complete your matriculation, and you’ll succeed with flying colors.

READ => How to get your matric results step by step

  1. Attend class 
  2. Ask questions 
  3. Make notes 
  4. Study 
  5. Practise 
  6. Study groups 
  7. Extra class 
  8. Motivation 
  9. Complete assessments 
  10. Prepare for the Exams in due time

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