Question 95952
Given:
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{{{(sqrt(x - 10)) - 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(x-10) = 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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{{{(sqrt(26 - 10)) - 4 = 0}}}
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This reduces to:
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{{{(sqrt(16)) - 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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