document.write( "Question 206063: Hi, Im having problems trying to solve these rational equations. Can you help.\r
\n" ); document.write( "\n" ); document.write( "x/3 = 4/x+1\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #155659 by checkley77(12844) $\"\"$ $\"About$

You can put this solution on YOUR website!
x/3 = 4/x+1
\n" ); document.write( "x/3-4/x=1
\n" ); document.write( "(x*x-3*4)/3x=1
\n" ); document.write( "(x^2-12)/3x=1
\n" ); document.write( "x^2-12=3x
\n" ); document.write( "x^2-12-3x=0
\n" ); document.write( "x^2-3x-12=0
\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( "x=(3+-sqrt[-362-4*1*-12])/2*1
\n" ); document.write( "x=(3+-sqrt[9+48])/2
\n" ); document.write( "x=(3+-sqrt57)/2
\n" ); document.write( "x=(3+-7.55)/2
\n" ); document.write( "x=10.55/2
\n" ); document.write( "x=5.275 ans.
\n" ); document.write( "x=3-7.55)/2
\n" ); document.write( "x=-4.55/2
\n" ); document.write( "x=-2.275 ans.
\n" ); document.write( "OR.
\n" ); document.write( "x/3=4/(x+1)
\n" ); document.write( "x(x+1)=3*4
\n" ); document.write( "x^2+x=12
\n" ); document.write( "x^2+x-12=0
\n" ); document.write( "(x-4)(x+3)=0
\n" ); document.write( "x-4=0
\n" ); document.write( "x=4 ans.
\n" ); document.write( "x+3=0
\n" ); document.write( "x=-3 ans. \n" ); document.write( "

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