document.write( "Question 1062475: can you please help me to solve this equation, x-3x^1/2=4 \n" ); document.write( "
Algebra.Com's Answer #677382 by rothauserc(4718)\"\" \"About 
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x - 3x^1/2 = 4
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\n" ); document.write( "1) x - 3sqrt(x) = 4\r
\n" ); document.write( "\n" ); document.write( "Subtract x from both sides
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\n" ); document.write( "-3sqrt(x) = 4 - x
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\n" ); document.write( "square both sides of =
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\n" ); document.write( "9x = (4 - x)^2
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\n" ); document.write( "Expand right hand side of =
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\n" ); document.write( "9x = x^2 - 8x + 16
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\n" ); document.write( "Subtract x^2 - 8x + 16 from both sides
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\n" ); document.write( "-x^2 + 17x - 16 = 0\r
\n" ); document.write( "\n" ); document.write( "The left side of = factors
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\n" ); document.write( "-(x - 16) (x - 1) = 0
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\n" ); document.write( "Multiply both sides of = by -1
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\n" ); document.write( "(x - 16) (x - 1) = 0
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\n" ); document.write( "There are two equations
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\n" ); document.write( "x - 16 = 0 or x - 1 = 0
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\n" ); document.write( "x = 16 or x = 1
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\n" ); document.write( "Check x = 1 in equation 1)
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\n" ); document.write( "x - 3 sqrt(x) ⇒ 1 - 3 sqrt(1) = -2
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\n" ); document.write( "x = 1 is incorrect\r
\n" ); document.write( "\n" ); document.write( "x - 3 sqrt(x) ⇒ 16 - 3 sqrt(16) = 4
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\n" ); document.write( "x = 16 is correct
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\n" ); document.write( "x = 16
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