7.5 Solving Radical Equations
Objective:
Be able to solve square root equations and
other radical equations
Definitions
A radical equation is an equation that has a variable in a radicand
(or a variable with a fractional exponent).
Steps to solving a radical equation:
1) Isolate the radical on one side of the equation.
2) Raise both sides of the equation to the same power.
3) Check your solution(s). Some may be extraneous.
4  2 x  28 is a radical equation
4  2 x  28 is not a radical equation
Solving - *check for extraneous solutions
Ex1) Solve  10  2 x  1  5.
Solving - *check for extraneous solutions
CHECK!!
Solving - *check for extraneous solutions
Ex2) Solve x  2 x  4  2.
Solving - *check for extraneous solutions
CHECK!!
Solving - *check for extraneous solutions
Ex3) Solve
x  2  3  2 x.
Solving - *check for extraneous solutions
CHECK!!
Solving - *check for extraneous solutions
Ex4) Solve
Solving - *check for extraneous solutions
CHECK!!
Solving - *check for extraneous solutions
Ex5) Solve
Solving - *check for extraneous solutions
CHECK!!
Solving - *check for extraneous solutions
PRACTICE!!
Solving - *check for extraneous solutions
PRACTICE!!
Solving - *check for extraneous solutions
6) The volume V of a sphere and its radius r are related
by the following cube root equation. What is the
volume of a sphere with a radius of 6 cm?
3V
r
4
3
Homework #11
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#4. Solving equations with two rational exponents
DO These Problems:
Pg 394 #1, 5, 7, 9, 11, 18, 20, 21, 27