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Pre Calculus Help
This is a list of subjects you may be interested on
- Systems of Equations.
- Word problems.
- Quadratic Equations
- Areas and Volumes.
- Sine, Cosine, Tangent, Cotangent, Secant, Cosecant.
- Pythagoras Theorem.
- De Moivre's Formula.
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We can provide solutions that suit your own needs. See some examples:
Problem 1. Solve the following system of equations:
Solution. We have to find
such a way that (1) and (2) are satisfied simultaneously. The method
consists on eliminating one of the variables using both
equation, multiplying them by the right constants. More precisely,
if we multiply the first equation by 2 we obtain
and now we sum both equations (3) and (4) to get
. Now that we have
, we can find
replacing any of the equations (1) or (2). We choose (1), so we get
, which implies that
, and then
is the solution.
Problem 2. Rationalize the denominator
Solution. We have the factor
denominator, so we multiply both the numerator and denominator by
, to obtain:
This way, we have found an equivalent expression with no radicals at
the denominator, i.e.
but this last expression is rationalized.
Check more examples here.