2.6:Radical Equations
College Algebra – Week 3
Steps to solve radical
equations:
1. Isolate the radical – if more than one radical is present,
place one on each side of the equal sign
2. Raise both sides of the equal sign to the power of the
index (ie. 4 3. Simplify and solve the equation or repeat steps 1 & 2 if
a radical is still present
4. Check the solution(s) → look for extraneous solutions
Ex. 1: Solve the radical equation.
a)
Ex. 1: Solve the radical equation.
b)
Ex. 1: Solve the radical equation.
c) Ex. 1: Solve the radical equation.
d)
Ex. 1: Solve the radical equation.
e)
Ex. 1: Solve the radical equation.
f)
Ex. 2: Solve for the specified variable.
ω ,
This is the formula for the angular
frequency ω of a mass m suspended from a
spring constant k. Solve the formula for m.
Ex. 2: Solve for the specified variable.
Kepler’s Third Law is . It relates
the period T of a planet to the radius r of its
orbit and the sun’s mass M. Solve this formula
for r.