document.write( "Question 672490: What is the absolute value of x^2-9=16? \n" ); document.write( "

Algebra.Com's Answer #418182 by KMST(5328) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"x%5E2-9=16\"$ is a quadratic equation.
\n" ); document.write( "Maybe you were told to solve it using absolute value or some such thing.
\n" ); document.write( "Here is how I would solve that equation:
\n" ); document.write( " $\"x%5E2-9=16\"$ --> $\"x%5E2-9%2B9=16%2B9\"$ --> $\"x%5E2=25\"$ --> $\"sqrt%28x%5E2%29=sqrt%2825%29\"$ --> $\"abs%28x%29=sqrt%2825%29\"$
\n" ); document.write( "That makes the solutions $\"highlight%28x=5%29\"$ and $\"highlight%28x=-5%29\"$ .
\n" ); document.write( "
\n" ); document.write( "Absolute value is the value of a number or expression, without the sign.
\n" ); document.write( "For example, the absolute value of $\"-5\"$ is $\"abs%28-5%29=5\"$ .
\n" ); document.write( "The absolute value of an expression involving a variable usually cannot be found without more information.
\n" ); document.write( "For example, I cannot figure out $\"abs%28x%5E2-3%29\"$ unless I am told some more information about $\"x\"$ . \n" ); document.write( "

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