can someone refresh my memory on how to write a equation with and extraneod how to solve it please.i will give a medal and become a fan.

Question

azureilai · Answer

what type of equation do you want to write?

anonymous · Answer

one that has an extraneous solution

azureilai · Answer

http://www.purplemath.com/modules/solvrtnl2.htm Hope it helps. Basically equations with extraneous equations are whenever you solve it, it comes out to be something like $$\sqrt{-4}$$ It is impossible to have a square root of a rational number, so it is an extraneous solution. (imaginary number)

anonymous · Answer

can you explain how to write thuation out for me as well?

anonymous · Answer

i mean the eqation.sorry my keyboard wonked out when i typed that

azureilai · Answer

Well, the most common equations that encounters imaginary numbers are the quadratic equations. For example,
$$x ^{2}+3x+3$$
If you use the quadratic formula to solve for it, you get an imaginary number answer. Also, I am not sure on this, but I believe perfect square trinomials also have an imaginary number answer.
$$(a ^{3}+b ^{3}) = (a+b)(a ^{2}-ab+b ^{2})$$
The $$(a ^{2}-ab+b ^{2})$$
will come out to an imaginary number. (though I am not sure about it, I think that is also another way you can write one. You have to double check.)

anonymous · Answer

ok thanks