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How do you solve radical equations?

Answer 1

Julia Adams

A radical equation is solved by simply squaring or cubing both sides of the equation. For example:

#√(2x+9)=5#

#√(2x+9)^2# = #5^2#

Then, continue to isolate the variable:

#2x+9=25#

#2x+9-9=25-9#

#(2x)/2=16/2#

#x=8#

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Answer 2

Jace Anderson

To solve radical equations, follow these steps:

Isolate the radical term on one side of the equation.
Square both sides of the equation to eliminate the radical.
Solve the resulting equation.
Check the solutions obtained by substituting them back into the original equation.
If any extraneous solutions are found (solutions that do not satisfy the original equation), discard them.

Remember to be cautious when squaring both sides, as it may introduce extraneous solutions.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.