document.write( "Question 395080: how do you solve? $\"+2sqrt%28x%2B4%29-1=+x+\"$ \n" ); document.write( "

Algebra.Com's Answer #280401 by jrfrunner(365) $\"\"$ $\"About$

You can put this solution on YOUR website!
first, isolate the radical
\n" ); document.write( " $\"+2sqrt%28x%2B4%29-1=+x+\"$
\n" ); document.write( " $\"sqrt%28x%2B4%29=+%28x%2B1%29%2F2+\"$
\n" ); document.write( "--
\n" ); document.write( "next square both sides to eliminate the radical
\n" ); document.write( " $\"+x%2B4=+%28x%2B1%29%5E2%2F4+\"$
\n" ); document.write( " $\"+x%2B4=+%28x%5E2%2B2x%2B1%29%2F4+\"$
\n" ); document.write( " $\"+4x%2B16=+%28x%5E2%2B2x%2B1%29\"$ multiply both sides by 4
\n" ); document.write( " $\"0=x%5E2-2x-15\"$ gather terms on one side
\n" ); document.write( "0=(x-5)*(x+3) factor
\n" ); document.write( "x=5, or x=-3
\n" ); document.write( "--
\n" ); document.write( "verify by substituting the answers into original equation
\n" ); document.write( "x=5:
\n" ); document.write( " $\"+2sqrt%285%2B4%29-1=+5+\"$
\n" ); document.write( "2*3-1=5 check
\n" ); document.write( "x=-3:
\n" ); document.write( " $\"+2sqrt%28-3%2B4%29-1=+-3+\"$
\n" ); document.write( "2-1=1 does not equal -3 so x=-3 is not a solution
\n" ); document.write( "--
\n" ); document.write( "the answer is x=5\r
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