SOLUTION: {{{(5-x)^(1/2)-1=x}}}

Question 130742This question is from textbook Algrebra II
: This question is from textbook Algrebra II

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
You don't actually say, but I'll presume that you need to solve this equation for x.

Remember that , so your equation becomes:

Add 1 to both sides:

Square both sides:

Put the equation in standard form

Multiply by -1:

Since and , this quadratic factors to:

,

Therefore or . However, since this is a radical equation (meaning that the variable is under a radical sign), there is a possibility that by squaring both sides of the equation, we may have derived an equation that is not exactly equivalent to the original and have introduced an extraneous root.

Check the answers:

: True statement. is in the solution set.

: False statement. is NOT in the solution set.

, and that's my final answer, Regis.
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