Algebra 2/trigonometry 1 Quadratic Equations Worksheet Page 15

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7.6 Solving Radical Equations
(R,E/2)
Radical Equation - an equation that contains ________________ or ___________________ exponents.
Steps:
(1)
Isolate the radical or power
(2)
Use inverse operations to undo the radical or rational exponent
(3)
Solve and simplify
(4)
Check – watch out for ________________________ solutions
4
6
√ ��
− 5 = 0
√ ��
− 2 = 0
E1.
P1.
4
3
3��
= 243
2��
= 250
E2.
P2.
3
2
√ 2�� + 8 − 4 = 6
√ 4�� − 7 + 2 = 5
E3.
P3.
√ 4�� + 28 − 3 √ 2�� = 0
√ 3�� + 2 − 2 √ �� = 0
E4.
P4.
�� + 2 = √ 2�� + 28
�� − 3 = √ 4��
*E5.
*P5.
15 |
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