Question 90476
Problem:
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{{{sqrt(x+13) =5}}}
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solve for x.
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Begin by squaring both sides. When you do that the equation becomes:
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{{{(sqrt(x+13))^2 = 5^2}}}
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which becomes:
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{{{x + 13 = 25}}}
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solve for x by subtracting 13 from both sides to get:
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{{{x = 25 - 13 = 12}}}
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The solution, therefore, is {{{x = 12}}}
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Check by substituting 12 for x in the original equation:
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{{{(sqrt(12 + 13)) = 5}}}
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Add the terms in the parentheses:
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{{{(sqrt(25)) = 5}}}
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The square root of 25 results in +5, so the equation is true and the answer x = 12 works.
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Hope this helps you to understand the problem.