Notes 6.6 Solving Radical Equations(in progress).notebook
January 21, 2015
Notes 6.6: Solving Radical Equations
Now that we've learned to simplify expressions with radicals and rational exponents, let's learn how to solve equations with radicals and rational exponents!
1. √x = 10
2. x1/3 ­ 4 = 0
3. x3/2 = 27
4. 2(x + 4)2/3 = 8
Notes 6.6 Solving Radical Equations(in progress).notebook
January 21, 2015
Extraneous Solutions: EXTRA solutions you obtain that do not make the original equation true
Daily Writing Activity!
For what values of x will not work (describe the domain)? Why not? Sample Answer: Any negative number will not work because you cannot take the square root of a negative number. A square root answers the question of what number multiplied by itself will give the original, and you cannot multiply a number by itself and get a negative result.
Notes 6.6 Solving Radical Equations(in progress).notebook
January 21, 2015
So, when we solve these equations, we need to make sure our answers are part of the domain!
5. ∛x ­ 2 = 0
6. √3x ­ 8 + 1 = 3
7. √2x + 10 ­ 2√x = 0
8. √8x + 1 = x + 2
Notes 6.6 Solving Radical Equations(in progress).notebook
January 21, 2015
Two more...
9. √3y ­ 5 ­ 3√y = 0
10. √x + 3 = 2x
Notes 6.6 Solving Radical Equations(in progress).notebook
January 21, 2015
But wait, there's more!
Solve the following equations using a graphing calculator!!!
Steps:
1. Get the equation = 0
2. Put the new equation into 3. Put 0 into
4. Now, find the intersection!
11.
12.
5. Press 3 times! 13.