SOLUTION: Find all solutions algebraically for the equation: (square root of x-10)-4=0

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Question 95952This question is from textbook Precalculus with limits
: Find all solutions algebraically for the equation:
(square root of x-10)-4=0 This question is from textbook Precalculus with limits

Answer by bucky(2189) About Me  (Show Source):
You can put this solution on YOUR website!
Given:
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%28sqrt%28x+-+10%29%29+-+4+=+0
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Get rid of the -4 on the left side by adding +4 to both sides to get:
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sqrt%28x-10%29+=+4
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Square both sides of this equation. The left side becomes x-10 and the right side becomes
16. So the equation now is:
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x+-+10+=+16
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Get rid of the -10 on the left side by adding 10 to both sides to get:
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x+=+26
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Check this result by substituting 26 for x in the given equation to get:
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%28sqrt%2826+-+10%29%29+-+4+=+0
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This reduces to:
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%28sqrt%2816%29%29+-+4+=+0
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The square root of 16 is +4 so the equation becomes:
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4+-+4+=+0
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And this works. So x = 26 is a correct answer.
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Hope this helps you to understand and work the problem.
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