HiSET: Math : Rational and radical equations

Study concepts, example questions & explanations for HiSET: Math

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Example Questions

Example Question #21 : Algebraic Concepts

Solve the following equation:

Possible Answers:

Correct answer:

Explanation:

The first step to solving an equation where  is in a radical is to isolate the radical. To do this, we need to subtract the 5 from both sides.

 

Now that the radical is isolated, clear the radical by raising both sides to the power of 3. Note:

 

Now we want to isolate the  term. First, subtract the 5 from both sides.

Finally, divide both sides by  to solve for .

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