Find the discriminant of each equation and say what kind of roots it has.
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
Find the discriminant of each equation and say what kind of roots it has.
- (b) (c)
Need a reminder? The key ideaShow
The discriminant of is . If there are two distinct real roots, if two equal real roots, , and if no real roots.
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. (a) . Negative: no real roots.
Step 2. (b) : two equal roots, .
Step 3. (c) . Positive: two distinct real roots.
Answer: (a) , no real roots; (b) , two equal roots; (c) , two distinct real roots.
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