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OTHER TYPES OF EQUATIONS

Objectives:

Radical Equations
Equations of Quadratic Form

Guidelines for Solving Radical Equations
• Isolate the radical on one side of the
equation.
• Raise both sides of the equation the
appropriate
power to eliminate the radical .
Solve the resulting equation
Check solutions

Note: It is very important to check your solutions after solving a radical equation
because raising both sides of an equation to a power sometimes does not produce
an equivalent equation .

Examples:

check:

Therefore, the solution set is {4}


Check:

The solution set is {18}

An equation o quadratic form is one that can be written as by making
an appropriate substitution .

Examples:



then the equation becomes



because we have

let , then the equation becomes

because , we have



let , then the equation becomes

Check:

therefore 4 is a solution , now because , we have

let ,then the equation becomes

Because ,we have

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