• Solve square-root equations in one
variable algebraically
• Solve radical equations in one variable algebraically
• Solve equations containing variable expressions with
rational exponents algebraically |
| Principle of Powers
If a=b ,then an = bn
If you begin with an equation that is true
and you raise both sides of the equation
to the same power ,the fault is a true
equation. |
| Steps to Solve a Radical Equation
1. Isolate the radical. If the equation has more
than one radical, choose one of the radicals
to isolate.
2. Raise each side of the equation to a power
equal to the index of the radical.
3. Solve the resulting equation. If the equation
still has a radical, repeats steps 1 and 2.
4. Check the potential solutions in the original
equation. |
| Solve Algebraically
Check!
No solution  |
| Extraneous Solutions
Extraneous solutions can occur when we
solve radial equations, therefore
apparent solutions must be checked . The
solution must be in the domain of the
radial expression. |
| Solving Radial Equations
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The ± is needed because your
are taking the square root |
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