Create an equation that results in at least one extraneous solution. Work through your equation, justify each step, and explain how the solution is extraneous.
Using the properties of exponents and radicals, design at least three different equivalent forms of x². You must show how each one can be simplified back to x² in two or more steps. Stretch your mind and get creative! Keep in mind that something too simple, like x • x would not be acceptable since it takes only one step to convert it to x².
Substitute your birthday into the equation Square root of the quantity x min

Question

Create an equation that results in at least one extraneous solution. Work through your equation, justify each step, and explain how the solution is extraneous.
Using the properties of exponents and radicals, design at least three different equivalent forms of x². You must show how each one can be simplified back to x² in two or more steps. Stretch your mind and get creative! Keep in mind that something too simple, like x • x would not be acceptable since it takes only one step to convert it to x².
Substitute your birthday into the equation Square root of the quantity x min

tkhunny · Answer

Just write something silly.

$(x-3)^{2} = -4$

Done!

acxbox22 · Answer

@tkhunny the solution to your equation is not real

tkhunny · Answer

Agreed.  That's one reason why things lead to extraneous solutions.

Square both sides and see!

acxbox22 · Answer

wait did you mean|dw:1426967647873:dw|