document.write( "Question 268365: i need help finding x in the equation: 2(squareroot x) + 3 = x \n" ); document.write( "
Algebra.Com's Answer #854070 by ikleyn(53742)\"\" \"About 
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\n" ); document.write( "i need help finding x in the equation: 2(squareroot x) + 3 = x
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\n" ); document.write( "\n" ); document.write( "        In the post by @mananth, the solution is incomplete and is written inaccurately; \r
\n" ); document.write( "\n" ); document.write( "        the answer absents, and from his post, a reader can make wrong conclusion.\r
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\n" ); document.write( "\n" ); document.write( "        So, I came to present an accurate and complete solution.\r
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\n" ); document.write( "\n" ); document.write( "2sqrtx +3=x
\n" ); document.write( "2sqrtx=x-3
\n" ); document.write( "square both the sides of the equation
\n" ); document.write( "4x=(x-3)^2
\n" ); document.write( "4x=x^2-6x+9
\n" ); document.write( "x^2-4x-6x+9=0
\n" ); document.write( "x^2-10x+9=0
\n" ); document.write( "x^2-9x-x+9=0
\n" ); document.write( "x(x-9)-1(x-9)=0
\n" ); document.write( "(x-1)(x-9)=0\r
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\n" ); document.write( "\n" ); document.write( "The roots to the last equation are x= 1 and x= 9.\r
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\n" ); document.write( "\n" ); document.write( "The check shows that x= 9 satisfies the original equation,
\n" ); document.write( "while x= 1 is an extraneous solution and should be rejected.\r
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\n" ); document.write( "\n" ); document.write( "ANSWER. The given equation has a unique solution x = 9.\r
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\n" ); document.write( "\n" ); document.write( "Solved completely and accurately (as it should be done).\r
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