Certainly we could check to see if the given solutions
solve the quadratic equations we
came up with.
If we are asked to solve an absolute value equation,
lXl=n, we first isolate the absolute
value then set the argument X equal to ±n. We have seen this technique before
difference here is that the resulting equations may be quadratic.
Dividing by zero is undefined, with this in mind, whenever we see a variable in
denominator of an expression we need to consider that the variable could be a
that makes the denominator zero. A restriction on the variable is noted
so that the
variable in the denominator can not be assigned that value. If a solution to a
equation turns out to be a restriction, simply throw it away. Do not include it
in the solution set.
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