document.write( "Question 992751: 3x + 14 $\"+sqrt%28+x+%29+\"$ = 5
\n" ); document.write( "Can you help me solve this? \n" ); document.write( "

Algebra.Com's Answer #612242 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
3x + 14sqrt( x ) = 5
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\n" ); document.write( "3(sqrt(x))^2 + 14sqrt(x) - 5 = 0
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\n" ); document.write( "Let w = sqrt(x)
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\n" ); document.write( "Rewrite your quadratic as::
\n" ); document.write( "3w^2 + 14w - 5 = 0
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\n" ); document.write( "Factor::
\n" ); document.write( "3w^2 + 15w-w -5 = 0
\n" ); document.write( "3w(w+5)-(w+5) = 0
\n" ); document.write( "(w+5)(3w-1) = 0
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\n" ); document.write( "w = -5 or w = 1/3
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\n" ); document.write( "Now, solve for \"x\"
\n" ); document.write( "sqrt(x) = -5 or sqrt(x) = 1/3
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\n" ); document.write( "x = 25 or is extraneous since sqrt(25) = 5, by definition; or x = 1/9
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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