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Solving Radical
Equations
Unit 2E Day 3
Do Now
 What points do you plot for the parent square root
function?
 What points do you plot for the parent cube root
function?
 Sketch the graph of
y = x +1 - 2.
Radical Equations
 A radical equation is an equation that has a variable
under a radical (aka, in the ______________) or raised
to a rational (fraction) exponent.
 Ex.:
3= x+6
2/3
3 = ( x + 6)
Ex. 1: Solving a Radical
Equation
 Solve
3 = x + 6.
1. _________________
the radical, if
necessary.
2. Raise each side to
the same
__________ to
cancel out the
radical.
3. Solve for x.
Ex. 2: Solving a Radical
Equation
 Solve 3
x - 5 +1= -1.
1. _________________
the radical, if
necessary.
2. Raise each side to
the same
__________ to
cancel out the
radical.
3. Solve for x.
Ex. 3: Solving a Radical
Equation
 Solve
2 x + 5 - 3 =1.
1. _________________
the radical, if
necessary.
2. Raise each side to
the same
__________ to
cancel out the
radical.
3. Solve for x.
Algebra Review
 Solve for x.
a) 3/2 x = 5
a) ½ x – 1 = 6
Ex. 3: Solving an Equation
with a Rational Exponent
1/3
 Solve ( 3x + 4) = 2.
1. _________________ the
part raised to the rational
exponent, if necessary.
2. Raise each side to the
same __________ to
cancel out the rational
exponent.
3. Solve for x.
Ex. 4: Solving an Equation
with a Rational Exponent
 Solve
-2x - 2 = -12.
1/2
1. _________________ the
part raised to the rational
exponent, if necessary.
2. Raise each side to the
same __________ to
cancel out the rational
exponent.
3. Solve for x.