document.write( "Question 29115: square root 2x-5 = 1+ square root x-3
\n" ); document.write( "I understand I have to square both sides. Where I lose it is here:
\n" ); document.write( "squaring 1 + square root x-3. My textbook has: 2times square root x-3 (end square root) + (x-3)
\n" ); document.write( "Thanks
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Algebra.Com's Answer #15915 by longjonsilver(2297)\"\" \"About 
You can put this solution on YOUR website!
\"+sqrt%282x-5%29+=+1+%2B+sqrt%28x-3%29+\"\r
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\n" ); document.write( "\n" ); document.write( "OK, to remove at least some of the square roots here, you could square both sides, as:
\n" ); document.write( "\"+%28sqrt%282x-5%29%29%5E2+=+%281+%2B+sqrt%28x-3%29%29%5E2+\"\r
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\n" ); document.write( "\n" ); document.write( "This is just like \"%28a%2Bb%29%5E2\" - don't be freaked by the fact we have 2 terms of the right.\r
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\n" ); document.write( "\n" ); document.write( "\"+%28sqrt%282x-5%29%29%5E2+=+%281+%2B+sqrt%28x-3%29%29%2A%281+%2B+sqrt%28x-3%29%29+\"
\n" ); document.write( "\"+2x-5+=+1+%2B+sqrt%28x-3%29+%2B+sqrt%28x-3%29+%2B+sqrt%28x-3%29sqrt%28x-3%29+\"
\n" ); document.write( "\"+2x-5+=+1+%2B+2sqrt%28x-3%29+%2B+%28x-3%29+\"
\n" ); document.write( "\"+2x-5+=+1+%2B+2sqrt%28x-3%29+%2B+x-3+\"
\n" ); document.write( "\"+2x-5+=+2sqrt%28x-3%29+%2B+x-2+\"
\n" ); document.write( "\"+x-5+=+2sqrt%28x-3%29+-+2+\"
\n" ); document.write( "\"+x-3+=+2sqrt%28x-3%29+\"
\n" ); document.write( "\"+%28x-3%29%2F2+=+sqrt%28x-3%29+\"\r
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\n" ); document.write( "\n" ); document.write( "Again, square both sides:
\n" ); document.write( "\"+%28%28x-3%29%2F2%29%5E2+=+%28sqrt%28x-3%29%29%5E2+\"
\n" ); document.write( "\"+%28x-3%29%5E2%2F2%5E2+=+x-3+\"
\n" ); document.write( "\"+%28x%5E2-6x%2B9%29%2F4+=+x-3+\"
\n" ); document.write( "\"+x%5E2-6x%2B9+=+4%28x-3%29+\"
\n" ); document.write( "\"+x%5E2-6x%2B9+=+4x-12+\"
\n" ); document.write( "\"+x%5E2-10x%2B9+=+-12+\"
\n" ); document.write( "\"+x%5E2-10x%2B21+=+0+\"
\n" ); document.write( "(x-7)(x-3) = 0\r
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\n" ); document.write( "\n" ); document.write( "so x-7=0 OR x-3=0
\n" ); document.write( "so x=7 or x=3\r
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\n" ); document.write( "\n" ); document.write( "This looks rather long, but i have written out every step on a different line so you can see everything.\r
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\n" ); document.write( "\n" ); document.write( "jon.
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