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Cambridge IGCSE Additional Mathematics

2.3The discriminant: roots and line–curve intersections

The discriminant: roots and line–curve intersections in Cambridge IGCSE Additional Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Subtopic18 practice questions1 lesson

Learning objectives

What the syllabus expects you to be able to do.

  1. 2.3Know the discriminant conditions for two real, two equal or no real roots, and for a line to meet, touch or miss a curve.

Lessons

  • The discriminant and the nature of roots

    35 min

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Sample question

A sample question on this topic. Answer it, check it, then read the worked answer.

The discriminant: roots and line–curve intersections: sample question

1 mark

Describe the roots of x2−10x+25=0x^2 - 10x + 25 = 0.

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