document.write( "Question 145915: I hope someone can help me with this: Solve by completing the square. Write the solutions in simplest radical form. The equation is x to the 2nd power - 16x = 8. Thanks for any help you can provide. \n" ); document.write( "
Algebra.Com's Answer #106498 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Solve by completing the square. Write the solutions in simplest radical form. The equation is x to the 2nd power - 16x = 8.
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\n" ); document.write( "x^2 - 16x + ____ = 8
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\n" ); document.write( "Calculate the third term to complete the square,
\n" ); document.write( "Divide the coefficient of x by 2 and square the result: (16/2)^2 = 64
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\n" ); document.write( "x^2 - 16x + 64 = 8 + 64; (add 64 to both side)
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\n" ); document.write( "(x-8)^2 = 72
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\n" ); document.write( "Find the square root of both sides:
\n" ); document.write( "x - 8 = +/-\"sqrt%2872%29\"
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\n" ); document.write( "Factor inside the radical to reveal a perfect square
\n" ); document.write( "x - 8 = +/-\"sqrt%2836%2A2%29\"
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\n" ); document.write( "Extract the square root of 36
\n" ); document.write( "x - 8 = +/-\"6%2Asqrt%282%29\"
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\n" ); document.write( "add 8 to both sides:
\n" ); document.write( "x = 8 + \"6%2Asqrt%282%29\"
\n" ); document.write( "and
\n" ); document.write( "x = 8 - \"6%2Asqrt%282%29\"\r
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