Flashcards
What should you do when reading a MAT question??
Circle any constaints like positive, whole, negative.
“Three positive numbers $a$, $b$, $c$ satisfy…” What should you do here??
Circle the word “positive”.
When given a question about the potential solutions (e.g. there is one solution, there is two solutions, there are infinitely many solutions) to a system of equations, what should you do??
Try and solve it and see what issues come up.
$$b^4 - b^3 = 8$$ If you can’t factorise $b^4 - b^3 - 8$, what could you still do instead that might be useful??
$$ b^3(b - 1) = 8 $$
If $b$ has to be positive, what is one solution to $$b^3(b - 1) = 8$$??
$$ b = 2 $$
When you have an equation like $$b^2 = a$$ in a system of equations, how can you rewrite it so that inferences are easier??
$$ a = b^2 $$
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Metadata
date: 2021-09-07 10:24
summary: what sort of solutions do these three log equations have?
tags:
- '@?mat'
- '@?notes'
- '@?public'
- '@?maths'
title: MAT - Paper 2013 - Q1F