Solve where 𝒙² + π’šΒ² = 𝒓 and 𝒙 + π’š = πŸ‘ (substituting)

Solve simultaneous equations by substituting a linear equation into a quadratic equation. You need to be confident in solving quadratics by factorisation and by the quadratic formula before starting this lesson. Examples include quadratics of the form 𝒙² + π’šΒ² = 𝒓, where r can be a square number.

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Worksheet

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Quiz:

Solve where 𝒙² + π’šΒ² = 𝒓 and 𝒙 + π’š = πŸ‘ (substituting)

Don’t worry if you get a question wrong! Forgetting is an important step in learning. We will recap next lesson.

Question 1

Question 2

Question 3

Q1.

1/3

Q2.

2/3

Q3.

3/3

This quiz includes images that don't have any alt text - please contact your teacher who should be able to help you with an audio description.

Quiz:

Solve where 𝒙² + π’šΒ² = 𝒓 and 𝒙 + π’š = πŸ‘ (substituting)

Don’t worry if you get a question wrong! Forgetting is an important step in learning. We will recap next lesson.

Question 1

Question 2

Question 3

Q1.

1/3

Q2.

2/3

Q3.

3/3

Lesson summary: Solve where 𝒙² + π’šΒ² = 𝒓 and 𝒙 + π’š = πŸ‘ (substituting)

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