SOLUTION: (sqrt of 5-x)+1=x-2 I get x=4 or x=1 but my book says just x=4. I need to know why this is because they will both make the equation equal zero (or at least I think they do) Thanks!
Question 644842: (sqrt of 5-x)+1=x-2 I get x=4 or x=1 but my book says just x=4. I need to know why this is because they will both make the equation equal zero (or at least I think they do) Thanks! Found 2 solutions by ewatrrr, richwmiller:Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
Hi,
(sqrt of 5-x)+1=x-2 |Note: x = 1, gives
I get x=4 or x=1, yes...however, x = 1 is an extraneous solution and tossed out..
ONe needs to test solutions in cases involving square roots
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website! (x-4)*(x-1)=0
yields
x*2-5x+4=0
Does that equal
sqrt(5-x)+1=x-2
no
x=4
sqrt(5-4)+1=4-2
1+1=2
2=2
x=1 doesn't work
sqrt(5-x)+1=x-2
sqrt(5-1)+1=1-2
sqrt(4)+1=-1
2+1=-1
3=-1