Upload
madison-murphy
View
218
Download
0
Tags:
Embed Size (px)
Citation preview
Objectives
• I can solve equations containing radicals
• I can solve equations containing rational exponents
• I can determine if a solution is Extraneous
Solving Radical Equations
• Follow the same rules as any equation
• Variable on left
• Numbers on Right
• Check your answers
Undoing The Square Root
• We undo addition with subtraction
• We undo multiplication with division
• How do we undo the square root?
• We square it!!
Radical Equations
• When solving radical equations make sure only the radical is on the left when you start the problem. (This is like solving absolute value)
• ALWAYS Check answers. You may get Extraneous Solutions from radicals.
Undoing Rational Exponents
• We undo the square root by Squaring It
• We undo a rational exponent by using the Reciprocal of that exponent
Solve an equation with a rational exponentEXAMPLE 4
Solve (x + 2)3/4 – 1 = 7.
(x + 2)3/4 – 1 = 7
(x + 2)3/4 = 8
(x + 2)3/4 4/3= 84/3
x + 2 = (23)4/3
x + 2 = 24
x + 2 = 16
Write original equation.
Add 1 to each side.
Simplify.
Apply properties of exponents.
Raise each side to the power .43
Simplify.
x = 14 Subtract 2 from each side.