SOLUTION: I need the detailed answer for this problem it to solve check the answer please help asap 1. √2x = x - 4 Please if someone can help me today and as soon as possible Tha

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Question 484772: I need the detailed answer for this problem it to solve check the answer please help asap
1. √2x = x - 4
Please if someone can help me today and as soon as possible
Thank you
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%282x%29=x-4
%28sqrt%282x%29%29%5E2=%28x-4%29%5E2
2x=x%5E2-8x%2B16
x%5E2-8x%2B16-2x=0
x%5E2-10x%2B16=0
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%28-%28-10%29+%2B-+sqrt%28%28-10%29%5E2-4%2A1%2A16+%29%29%2F%282%2A1%29+
x+=+%2810%2B-+sqrt%2836%29%29%2F2+
x+%5B1%5D=+%2810-+6%29%2F2+=2
x+%5B2%5D=+%2810%2B+6%29%2F2+=8
In equations, like this, we have to check answer
Check x%5B1%5D=2 sqrt%282%2A2%29=2-4
sqrt%284%29=-2
2=-2 incorrect, then x%5B1%5D=2 exterior root
Check x%5B2%5D=8 sqrt%282%2A8%29=8-4
sqrt%2816%29=4
4=4correct
Answer x=8