document.write( "Question 262818: x+3*x^(1/2)-15=5*x^(1/2) \n" ); document.write( "

Algebra.Com's Answer #193593 by drk(1908) $\"\"$ $\"About$

You can put this solution on YOUR website!
We are given the following
\n" ); document.write( "(i) $\"x%2B3x%5E%281%2F2%29-15=5x%5E%281%2F2%29\"$
\n" ); document.write( "step 1 - move the x^(1/2) terms to the right side as
\n" ); document.write( "(ii) $\"x-15+=+2x%5E%281%2F2%29\"$
\n" ); document.write( "step 2 - square both sides to get
\n" ); document.write( "(iii) $\"x%5E2+-+30x+%2B+225+=+4x\"$
\n" ); document.write( "step 3 - subtract 4x to get
\n" ); document.write( "(iv) $\"x%5E2+-+34x+%2B+225+=+0\"$
\n" ); document.write( "step 4 - factor to get
\n" ); document.write( "(v) $\"%28x-9%29%28x-25%29=0\"$
\n" ); document.write( "step 5 - solve for x to get
\n" ); document.write( "x= 9
\n" ); document.write( "or
\n" ); document.write( "x = 25
\n" ); document.write( "If we check x = 9, we find it doesn't work, so our only answer is x = 25. \n" ); document.write( "

\n" );