OTHER TYPES OF EQUATIONS

Objectives:

• Radical Equations
• Equations of Quadratic Form

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