ill do anything for an answer
solve the equation for p. identify any extraneous solutions sqrt p=-1

Question

ill do anything for an answer
solve the equation for p. identify any extraneous solutions sqrt p=-1

anonymous · Answer

$$\sqrt{p} = -1$$

imstuck · Answer

If this is what I think it is, there are not any real solutions.  To undo a square root, you need to square it.  When you do that to the one side you have to do it to the other side.  When you square the -1, you get a positive 1.  But if you fill a positive 1 back into your equation to check it, it doesn't work out, because the square root of 1 is 1, not -1.  I'm very confused here.

anonymous · Answer

what does extraneous mean?

wolf1728 · Answer

p = square root of -1 which has been designated by mathematicians as "i".

anonymous · Answer

im not sure if that helps

wolf1728 · Answer

Here's a definition of extraneous solution from MathWords: http://www.mathwords.com/e/extraneous_solution.htm A solution of a simplified version of an equation that does not satisfy the original equation. Watch out for extraneous solutions when solving equations with a variable in the denominator of a rational expression, with a variable in the argument of a logarithm, or a variable as the radicand in an nth root when n is an even number.

imstuck · Answer

How could p equal the square root of -1?  The square root is applied to the p.  You have to square the square root to solve for p.  You can't just take the square root of the -1 without also taking the square root of the square root of p$$\sqrt{\sqrt{p}}=\sqrt{-1}$$

anonymous · Answer

so its just no solution?

anonymous · Answer

here are the choices
a-1 is the solution the the original problem.1 is an extranous solution
b1 is the solution the the original problem.
c1 is the solution the the original problem.-1 is an extranous solution
d no solution

imstuck · Answer

I would have to say that there is no solution.  I just can't see it working out any other way.

anonymous · Answer

ok thank you

wolf1728 · Answer

Are those answers quoted exactly?
Because a, b, and c have "the the" in the answers.

anonymous · Answer

no

wolf1728 · Answer

I know that an extraneous solution is reached by squaring both sides
p = 1 
That is extraneous because if we then take square roots we get
sq root (p) = 1 which is NOT the original equation.