SOLUTION: Solve for x analytically and give the exact solution in real or complex form, be sure to show your work: sqrt(10-x)=x-4

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Question 445142: Solve for x analytically and give the exact solution in real or complex form, be sure to show your work:
sqrt(10-x)=x-4
Found 2 solutions by jorel1380, jim_thompson5910:
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
√10-x=x-4
10-x=(x-4)2=x2-8x+16
x2-7x+6=0
(x-6)(x-1)=0
x=6 or 1
Throwing out 1, we get x=6..

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Just adding that if you plug in x = 1, you get

sqrt%2810-1%29=1-4


sqrt%289%29=-3


3=-3


which is clearly false. So this is why the previous tutor threw out the possible solution of 1. You do the same for the other possible solution and you'll see it works.