Solve 6x² + x - 15 = 0 by splitting the middle term.
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
Solve by splitting the middle term.
Need a reminder? The key ideaShow
To solve by factorisation, find and with and , split into , and group. If a product is , one factor is . Never divide both sides by , and check each root.
The worked solution
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. The pair. Product , sum : and .
Step 2. Split and group. .
Step 3. Solve. gives ; gives .
Answer: or .
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