Warm-Up #131
4/10/17
Solve each equation.
1. 2x - 3 = 15
2. 3(x - 5)2 + 1 = 148
3. x2 - 6x + 8 = 0
4. 2|x + 2| - 3 = 7
Turn your Section 6-4 Practice half-sheet into the black
basket.
Solving Square Roots and
Other Radical Equations
Section 6-5
4/10/17
EQ: Why does solving a square root equation require you to square
each side that can produce extraneous solutions?
Radical Equations
Solving a Square Root Equation
A radical equation is an equation that has a variable in a
What is the solution of
Solving a Square Root
Equation
?
1. Isolate the radical
expression.
radicand or a variable with a rational exponent.
If the radical has an index of 2, the equation is a square
2. Square each side.
root equation.
3. Solve the remaining
equation.
4. Check for any
extraneous solutions.
Solving a Square Root Equation
What is the solution of
Solving Other Radical Equations
?
What is the solution of
?
Solving any Radical
Equation
1. Isolate the radical
expression.
2. Raise each side to the
reciprocal power.
3. Solve the remaining
equation.
4. Check your solution(s).
Checking for Extraneous Solutions
What is the solution of
Warm-Up #132
?
Solving an Equation with Two Radicals
What is the solution of
?
Solving an Equation with
Two Radicals
1. Isolate the more
complicated radical.
2. Square each side.
3. Simplify and isolate the
other radical.
4. Check for any
extraneous solutions.
4/11/17
Solve each radical equation.
1.
x=1
2.
x = 512
3.
x = 31