Solving Quadratic Equations By The Quadratic Formula Worksheet Page 15
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16Practice Problems 5a - 5c:
Find the discriminant.
Based on the discriminate, indicate how
many and what type of solutions there
would be.
5a.
5b.
(answer/discussion to 5a)
(answer/discussion to 5b)
5c.
(answer/discussion to 5c)
Warning! Warning! Danger Ahead!!
Be extremely careful in solving problems like this:
x
2
= x
It is very tempting to divide both sides by x to get:
x = 1
This is incorrect, because you have completely eliminated
one of the solutions. Never divide both sides of an
equation by a variable if it cancels from both sides!!
Correct way to do the problem is as follows:
x
= x
2
x
2
- x = 0
x(x - 1) = 0
Solutions are x = 0 and x = 1
15
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