document.write( "Question 277505: i am having trouble with how to solve for the unknown in this sqrt of y +(sqrt of y+7)= 7 please help me if possible \n" ); document.write( "

Algebra.Com's Answer #202022 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
sqrt of y +(sqrt of y+7)= 7
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\n" ); document.write( "sqrt(y)+sqrt(y+7) = 7
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\n" ); document.write( "Square both sides to get:
\n" ); document.write( "y + 2sqrt(y^2+7y) + y+7 = 49
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\n" ); document.write( "2sqrt(y^2+7y) = 42-2y
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\n" ); document.write( "sqrt(y^2+7y) = 21-y
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\n" ); document.write( "Square both sides:
\n" ); document.write( "y^2+7y = 441 - 42y + y^2
\n" ); document.write( "49y = 441
\n" ); document.write( "y = 9
\n" ); document.write( "------
\n" ); document.write( "Check in the original equation:
\n" ); document.write( "sqrt(9)+sqrt(16) = 7
\n" ); document.write( "3 + 4 = 7
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\n" ); document.write( "Solution: y = 9
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\n" ); document.write( "cheers,
\n" ); document.write( "Stan H.
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