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Lesson details

Key learning points

  1. In this lesson, we will look at the number of possible solutions for quadratic equations and investigate patterns linking the form of an equation and the number of real solutions it has.

Licence

This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

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5 Questions

Q1.
Which is of the following is true about quadratic equations:
It has one solution
It has two solutions
Correct answer: It has up to two solutions
Q2.
Choose the most appropriate pair of solutions for A
An image in a quiz
18
40.5
9
Correct answer: 9 and - 9
Q3.
Choose the most appropriate pair of solutions for B
An image in a quiz
24.5 and -24.5
Correct answer: 7 and -7
sqrt(51) and - sqrt(51)
sqrt(53) and - sqrt(53)
Q4.
Choose the most appropriate pair of solutions for C
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3 and -3
Correct answer: 3 and -7
3 and 7
sqrt(23) and - sqrt(23)
sqrt(27) and - sqrt(27)
Q5.
Choose the most appropriate pair of solutions for D
An image in a quiz
Correct answer: 1 and -1
3 and -3
sqrt(39)/3 and - sqrt(39)/3

5 Questions

Q1.
How many real solutions does 'A' have?
An image in a quiz
One
Correct answer: Two
Zero
Q2.
How many real solutions does 'B' have?
An image in a quiz
One
Two
Correct answer: Zero
Q3.
How many real solutions does 'C' have?
An image in a quiz
One
Two
Correct answer: Zero
Q4.
How many real solutions does 'D' have?
An image in a quiz
Correct answer: One
Two
Zero
Q5.
How many real solutions does 'E' have?
An image in a quiz
One
Correct answer: Two
Zero

Lesson appears in

UnitMaths / Quadratic equations (9.10)