6.5 Solving Square Root and Other Radical Functions

February 02, 2016
Warmup -solving Square Roots and other radical equations.
Remember: check for extraneous solutions!
check:
You can check graphically too...
2nd- trace -intersection
February 02, 2016
Solve the radical equation.
even value in exponent!
1.)
Use the reciprocal
of the exponent!
check :
Steps ...
1. Isolate the radical .
2. Raise the power of each side
3. Determine if you
have absolute value
4. Solve
5. Check
If any number in the
exponent is even,
use absolute value.
February 02, 2016
2.)
check:
even value in the exponent...
use absolute value!
February 02, 2016
3.)
Think....exponent
index
odd exponents...
no absolute value...
check:
February 02, 2016
4.Solve.
Steps ...
1. Isolate the more complicated radical .
2. eliminate it.
3. Simplify.
4. Isolate the 2nd radical.
5. Solve.
6. Check.
don't divide by 2.
It's easier to square both sides first...
check:
check:
February 02, 2016
5.) Solve
check:
check:
February 02, 2016
6.)
Given the equation below, Solve for v.
February 02, 2016
HW p. 395; 18-23 all, 35-38 all, 39, 41, 43
February 02, 2016
HW p. 395; 18-23 all, 35-38 all, 39, 41, 43
February 02, 2016