document.write( "Question 461860: My book does not tell me how to do a problem with a square root symbol over top of: 2x+7 for example. 2x+7=5 There is a square root over the 2x+7 (I cannot do square root on the computer) \n" ); document.write( "

Algebra.Com's Answer #316653 by bucky(2189) $\"\"$ $\"About$

You can put this solution on YOUR website!
Given:
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\n" ); document.write( " $\"sqrt%282x%2B7%29+=5\"$
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\n" ); document.write( "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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\n" ); document.write( " $\"2x+%2B+7+=+25\"$
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\n" ); document.write( "Solve this equation. Start by getting rid of the 7 on the right side by subtracting 7 from both sides.
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\n" ); document.write( " $\"2x+=+25-7\"$
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\n" ); document.write( "which is:
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\n" ); document.write( " $\"2x+=+18\"$
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\n" ); document.write( "Solve for x by dividing both sides by 2:
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\n" ); document.write( " $\"x+=+9\"$
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\n" ); document.write( "That's the answer. Check by substituting 9 for x in the original problem:
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\n" ); document.write( " $\"sqrt%282%2A9+%2B7%29+=+5\"$
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\n" ); document.write( " $\"sqrt%2818%2B7%29+=+5\"$
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\n" ); document.write( " $\"sqrt%2825%29+=+5\"$
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\n" ); document.write( " $\"5+=+5\"$
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\n" ); document.write( "That works. Therefore, the answer x = 9 is correct.
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\n" ); document.write( "Hope this helps you to understand one way of getting rid of square root signs to solve an equation. \n" ); document.write( "

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