The problems called
WHAT IS WRONG?, if anything,
are really enhanced true/false questions. That is, simply
saying "true" or "false" is not sufficient  you need to
provide reasoning as well.
These are not rational
equations since there is no variable in any of the denominators,
so there are no excluded values (and a check is not necessary).
Multiply both sides by the least common denominator.
See Example 1.
See Example 2.
See Example 3.
See Example 5.
See Example 7.
See Example 5.
See Example 6.
See Example 3.
See Example 6.
Isolate the fourth
degree term, and raise both sides to the fourth power. Don't
forget to check for extraneous roots.
Isolate the fourth
degree term, and square both sides. Isolate the radical
and then square both sides again. Don't forget to check
for extraneous roots.
Make substitutions
as follows:
Problems 46 and 47: let w = x^{2}
Problem 48: let w = x^{2}
Problem 49: let w = x^{2}
Problem 50: let w = (x^{2}  3x)
Problem 51: let w = (x^{2} + 4x)
Problem 52: let w = x^{1/2}
Multiply both
sides by the least common denominator, and solve the resulting
quadratic equation.
Note: Homework Hints are given only for Level 1 and
Level 2 problems. Hints are generally not given for IN
YOUR OWN WORDS or Journal Problems. You can
also check some sources for homework help on the Links page
of this web site. Don't be afraid to ask your instructor or
classmates for help. You can also send an email
to: smithkjs@mathnature.com.
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