document.write( "Question 882549: Please show step by step solution to the following equation:
\n" ); document.write( "|4x-3| = 5sqrt(x+4) \n" ); document.write( "

Algebra.Com's Answer #532905 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Positive solution:
\n" ); document.write( " $\"abs%284x-3%29=4x-3\"$
\n" ); document.write( "Then,
\n" ); document.write( " $\"4x-3=5%2Asqrt%28x%2B4%29\"$
\n" ); document.write( " $\"%284x-3%29%5E2=25%28x%2B4%29\"$
\n" ); document.write( " $\"16x%5E2-24x%2B9=25x%2B100\"$
\n" ); document.write( " $\"16x%5E2-49x-91=0\"$
\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( " $\"x+=+%2849+%2B-+sqrt%28+%28-49%29%5E2-4%2A16%2A%28-91%29+%29%29%2F%282%2A16%29+\"$
\n" ); document.write( " $\"x+=+%2849+%2B-+sqrt%28+2401+%2B5824+%29%29%2F%2832%29+\"$
\n" ); document.write( " $\"x+=+%2849+%2B-+sqrt%28+8225%29%29%2F%2832%29+\"$
\n" ); document.write( " $\"highlight_green%28x+=+%2849+%2B-+5%2Asqrt%28+329%29%29%2F%2832%29%29+\"$
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\n" ); document.write( "Negative solution:
\n" ); document.write( " $\"abs%284x-3%29=-%284x-3%29\"$
\n" ); document.write( " $\"-%284x-3%29=5%2Asqrt%28x%2B4%29\"$
\n" ); document.write( " $\"4x-3%29%5E2=25%28x%2B4%29\"$
\n" ); document.write( "Hey, this is the same as above.
\n" ); document.write( " \n" ); document.write( "

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