Math 111 - Sept 30, 2011

Write

in vertex form

feet by 50 feet

sq ft.

3.4) Rational and Radical equations...

A rational equation (x's in the denominators)

We will solve this as usual.. except - we have to watch out for division by zero

There are three x's that would den.s zero: .

I'll solve this by multiplying all by com. den.

or but cross out the -2 answer.

A simpler one:

NOTE:

keep both answers

NOTE:

Another:

note:

Second problem type: Radical equations

(x's under roots)

NOTE: you can't have negatives under even roots... AND you can't have

NOTE:

Solve the problem: Get the root by itself and then square both sides

Another

note:

solve

wait this is impossible (NO SOLUTION)

Instead of checking all the exceptions seperately, you can just check your answers in the original.....

NOTE:

Odd roots can be negative...

is ok