document.write( "Question 703976: sole & check for extraneous solutions.
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\n" ); document.write( "some how the answer is 81/16 but i dont know how to solve it
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Algebra.Com's Answer #853912 by MathTherapy(10801)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "sole & check for extraneous solutions. \r\n" );
document.write( "X^1/2-(x-5)^1/2=2 \r\n" );
document.write( "some how the answer is 81/16 but i dont know how to solve it\r\n" );
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document.write( "The other person's solutions, \r\n" );
document.write( "\"x≈5.055\r\n" );
document.write( "or\r\n" );
document.write( "x≈-1.055(reject, x≥0)\" are WRONG. \r\n" );
document.write( "Although you provided the correct answer, he/she failed to match it.\r\n" );
document.write( "Why bother to respond when you can't provide help, as needed? It's a SHAME!!!\r\n" );
document.write( "                 \"matrix%282%2C1%2C+%22+%22%2C+x%5E%281%2F2%29+-+%28x+-+5%29%5E%281%2F2%29+=+2%29\"\r\n" );
document.write( "                         \"sqrt%28x%29+-+sqrt%28x+-+5%29+=+2\" ----- Converting \"1%2F2-power\" to radical (square root), or \"matrix%282%2C1%2C+%22+%22%2C+a%5E%281%2F2%29%29\" to \"sqrt%28a%29\" \r\n" );
document.write( "The SMALLER radicand, x - 5, CANNOT be negative (< 0). So, \"x+-+5+%3E=+0\" ==> \"x+%3E=+5\". We now have:\r\n" );
document.write( "                        \"sqrt%28x%29+-+sqrt%28x+-+5%29+=+2\", with \"x+%3E=+5\"\r\n" );
document.write( "\"%28sqrt%28x%29%29%5E2+-+2sqrt%28x%29sqrt%28x+-+5%29+%2B+%28sqrt%28x+-+5%29%29%5E2+=+2%5E2\" ---- Squaring each side\r\n" );
document.write( "           \"x+-+2sqrt%28x%28x+-+5%29%29+%2B+x+-+5+=+4\"\r\n" );
document.write( "             \"2x+-+2sqrt%28x%5E2+-+5x%29+-+5+=+4\"\r\n" );
document.write( "                    \"-+2sqrt%28x%5E2+-+5x%29+=+4+-+2x+%2B+5\"\r\n" );
document.write( "                    \"-+2sqrt%28x%5E2+-+5x%29+=+9+-+2x\"\r\n" );
document.write( "               \"%28-+2sqrt%28x%5E2+-+5x%29%29%5E2+=+%289+-+2x%29%5E2\" ---- Squaring each side\r\n" );
document.write( "                      \"4%28x%5E2+-+5x%29+=+81+-+36x+%2B+4x%5E2\"\r\n" );
document.write( "                        \"4x%5E2+-+20x+=+81+-+36x+%2B+4x%5E2\"\r\n" );
document.write( "        \"4x%5E2+-+4x%5E2+-+20x+%2B+36x+=+81\"\r\n" );
document.write( "                              16x = 81\r\n" );
document.write( "                                  \"highlight%28matrix%281%2C3%2C+x+=+81%2F16%2C+or%2C+5%261%2F16%29%29\" <=== This DEFINITELY matches your answer!\r\n" );
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document.write( "Per the above constraint, \"x+%3E=+5\", and \"x+=+81%2F16+=+5%261%2F16+%3E=+5\".\r\n" );
document.write( "So, \"81%2F16\" is a VALID and ACCEPTABLE value fox x, in this instance!
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