Question 461860
Given:
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{{{sqrt(2x+7) =5}}}
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You can start by squaring both sides to get rid of the square root sign.  When you square a square root, you just get the quantity within the square root sign.  On the other side of the equation, squaring 5 results in 25.  Therefore, by squaring both sides of this equation you get:
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{{{2x + 7 = 25}}}
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Solve this equation. Start by getting rid of the 7 on the right side by subtracting 7 from both sides.
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{{{2x = 25-7}}}
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which is:
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{{{2x = 18}}}
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Solve for x by dividing both sides by 2:
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{{{x = 9}}}
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That's the answer. Check by substituting 9 for x in the original problem:
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{{{sqrt(2*9 +7) = 5}}}
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{{{sqrt(18+7) = 5}}}
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{{{sqrt(25) = 5}}}
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{{{5 = 5}}}
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That works.  Therefore, the answer x = 9 is correct.
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Hope this helps you to understand one way of getting rid of square root signs to solve an equation.