Radical Equations: Solving Techniques and Examples, Study notes of Algebra

Instructions on how to solve simple radical equations, with examples and key concepts covered in mr. Simonds' mth 95 textbook. Students will learn the steps to isolate radical expressions, raise both sides to the appropriate power, and check solutions.

Typology: Study notes

Pre 2010

Uploaded on 08/16/2009

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Mr. Simonds MTH 95 โ€“ radical equations
Page 1 of 2
Key Concepts: Solving simple radical equations
Textbook sections and practice problems
7.6: 7-39 odd
Examples
Solve
3
24tโˆ’=.
Solving equations when the variable occurs in a radicand
1. Isolate the radical expression on one side of the equal sign. If there are two radicals,
write them on opposite sides of the equal sign.
2. Raise both sides of the equation to the
n
th
power, where
n
is the index of the radical
expression(s).
3. Solve the resultant equation.
4. You
must
check your solutions. For example, squaring both sides of equation can
introduce false solutions.
(
)
22
22 2 2
False True
โˆ’= โˆ’ =
pf2

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Mr. Simonds MTH 95 โ€“ radical equations

Page 1 of 2

Key Concepts: Solving simple radical equations Textbook sections and practice problems7.6: 7-39 odd

Examples Solve 3 2 โˆ’ t = 4.

Solving equations when the variable occurs in a radicand

  1. Isolate the radical expression on one side of the equal sign.write them on opposite sides of the equal sign. If there are two radicals,
  2. Raise both sides of the equation to theexpression(s). nth^ power, wheren is the index of the radical
  3. Solve the resultant equation.
  4. Youintroduce false solutions. must check your solutions. For example, squaring both sides of equation can

2 2 ( 2 )^2

False True

Mr. Simonds MTH 95 โ€“ radical equations

Page 2 of 2

Solve 2 + 4 x โˆ’ 3 = x.

Solve x + 7 x + 1 = 11.