document.write( "Question 611: Solve this equation:\r
\n" ); document.write( "\n" ); document.write( " $\"sqrt%287x-3%29%2B3=2x\"$ \n" ); document.write( "

Algebra.Com's Answer #386365 by Charles1947(18) $\"\"$ $\"About$

You can put this solution on YOUR website!
If we subtract 3 from both sides of the equation we get
\n" ); document.write( " $\"sqrt%287x-3%29=2x-3\"$
\n" ); document.write( "To get rid of the radical we square both sides of the equation
\n" ); document.write( " $\"7x-3=%282x%2B3%29x%282x-3%29=4x%5E2-12x%2B9\"$
\n" ); document.write( " $\"7x-3=4x%5E2-12x%2B9\"$
\n" ); document.write( "Combine like terms
\n" ); document.write( " $\"4x%5E2-19x%2B12=0\"$
\n" ); document.write( "This is a quadratic equation so we will have 2 answers
\n" ); document.write( "Use the quadratic equation to solve
\n" ); document.write( " $\"x+=+%2819+%2B-+sqrt%28+%28-19%29%5E2-4%2A4%2A12+%29%29%2F%282%2A4%29+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x+=+%2819+%2B-+sqrt%28+361+-+192+%29%29%2F8\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x+=+%2819+%2B-+13%29%2F8\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x+=+32%2F8\"$ and $\"6%2F8\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x+=+4\"$ and $\"3%2F4\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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