document.write( "Question 64415: Could someone help!\r
\n" ); document.write( "\n" ); document.write( " If sqrt x^2-16=3 then what is the x must approximately be ? \n" ); document.write( "
Algebra.Com's Answer #45037 by ptaylor(2198)\"\" \"About 
You can put this solution on YOUR website!
I'm not sure if I understand the problem. Is it?:\r
\n" ); document.write( "\n" ); document.write( "(1) sqrt(x^2-16)=3\r
\n" ); document.write( "\n" ); document.write( "or is it?:\r
\n" ); document.write( "\n" ); document.write( "(2) sqrt(x^2)-16=3\r
\n" ); document.write( "\n" ); document.write( "We'll solve it both ways. First, to solve for x:\r
\n" ); document.write( "\n" ); document.write( "sqrt(x^2-16)=3 We will first get rid of the radical by squaring both sides and we get:\r
\n" ); document.write( "\n" ); document.write( "x^2-16=9 add 16 to both sides:
\n" ); document.write( "x^2=9+16 =25 take sqrt of both sides
\n" ); document.write( "x=+or-5\r
\n" ); document.write( "\n" ); document.write( "ck
\n" ); document.write( "sqrt(25-16)=3
\n" ); document.write( "sqrt(9)=3
\n" ); document.write( "3=3\r
\n" ); document.write( "\n" ); document.write( "now the other one:
\n" ); document.write( "sqrt(x^2)-16=3 first, we'll add 16 to both sides and we get:
\n" ); document.write( "sqrt(x^2)=19 now we'll square both sides to get rid of the radical:
\n" ); document.write( "x^2=361 take sqrt of both sides
\n" ); document.write( "x=sqrt(361)
\n" ); document.write( "x=+or-19\r
\n" ); document.write( "\n" ); document.write( "ck
\n" ); document.write( "sqrt(19^2)-16=3
\n" ); document.write( "19-16=3
\n" ); document.write( "3=3\r
\n" ); document.write( "\n" ); document.write( "Hope this helps. Happy holidays.-----ptaylor
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