document.write( "Question 325791: sqrt(4x+5) = 2 + sqrt(2x-1) \n" ); document.write( "
Algebra.Com's Answer #853781 by MathTherapy(10801)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "sqrt(4x+5) = 2 + sqrt(2x-1)
\n" ); document.write( "===========================
\n" ); document.write( "I wonder why the other person chose to write a novel for this problem!\r
\n" ); document.write( "\n" ); document.write( " \"sqrt%284x+%2B+5%29+=+2+%2B+sqrt%282x+-+1%29\", with \"x%3E=1%2F2\"
\n" ); document.write( " \"%28sqrt%284x+%2B+5%29%29%5E2+=+%282+%2B+sqrt%282x+-+1%29%29%5E2\" --- Squaring both sides of equation
\n" ); document.write( " \"4x+%2B+5+=+4+%2B+4sqrt%282x+-+1%29+%2B+%282x+-+1%29\"
\n" ); document.write( " \"4x+%2B+5+=+2sqrt%282x+-+1%29+%2B+2x+%2B+3\"
\n" ); document.write( " \"4x+-+2x+%2B+5+-+3+=+4sqrt%282x+-+1%29\"
\n" ); document.write( " \"2x+%2B+2+=+4sqrt%282x+-+1%29\"
\n" ); document.write( " \"%282x+%2B+2%29%2F2+=+%284sqrt%282x+-+1%29%29%2F2\"
\n" ); document.write( " \"x+%2B+1+=+2sqrt%282x+-+1%29\"
\n" ); document.write( " \"%28x+%2B+1%29%5E2+=+%282sqrt%282x+-+1%29%29%5E2\" ---- Squaring both sides of equation
\n" ); document.write( " \"x%5E2+%2B+2x+%2B+1+=+4%282x+-+1%29\"
\n" ); document.write( " \"x%5E2+%2B+2x+%2B+1+=+8x+-+4\"
\n" ); document.write( "\"x%5E2+%2B+2x+-+8x+%2B+1+%2B+4+=+0\"
\n" ); document.write( " \"x%5E2+-+6x+%2B+5+=+0\"
\n" ); document.write( " (x - 5)(x - 1) = 0
\n" ); document.write( " x - 5 = 0 OR x - 1 = 0
\n" ); document.write( " x = 5 OR x = 1
\n" ); document.write( "Both solutions are ACCEPTABLE, as \"matrix%281%2C4%2C+5+%3E=+1%2F2%2C+%22%2C%22%2C+and%2C+1+%3E=+1%2F2%29\"
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