Use proof by contradiction to determine which statement about the equation $x^2 + 5x + 3 = 0$ can be proven to be true.
Specialist Mathematics · Unit 1 · Introduction to proof · The nature of proof
Use proof by contradiction.
Practise this objective
AI-marked practice questions tied to QCAA mark schemes for this exact LO. Free to start.
Start free practicePractice questions for this objective
Full questions, answers and worked solutions unlock when you start a free practice session.
Question 1
Worked answer
🔒 Start free to see full answer
Question 2
A proof by contradiction is used to prove that quadrilateral ABCD is a parallelogram. Which of the following would be the correct assumption to start the proof?
Worked answer
🔒 Start free to see full answer
Question 3
Use proof by contradiction to show that if \(n^2\) is divisible by 5, then \(n\) is divisible by 5, where \(n\) is a positive integer.
Worked answer
🔒 Start free to see full answer
Question 4
Use proof by contradiction to show that if $n^2$ is an odd integer, then $n$ must be an odd integer.
Worked answer
🔒 Start free to see full answer