document.write( "Question 456094: I am having trouble with solving for x in the following equation:\r
\n" ); document.write( "\n" ); document.write( "\"+%28x%2B1%29%2F%28x-3%29=x%2B2+\"\r
\n" ); document.write( "\n" ); document.write( "So far I have tried the following steps to simplify:\r
\n" ); document.write( "\n" ); document.write( "x+1=(x+2)(x-3)
\n" ); document.write( "x+1=\"x%5E2-3x%2B2x-6\"
\n" ); document.write( "x+1=\"x%5E2-x-6\"
\n" ); document.write( "x+7=\"x%5E2-x\"
\n" ); document.write( "2x+7=\"x%5E2\"
\n" ); document.write( "2+7=\"x%5E2%2Fx\"
\n" ); document.write( "9=\"x%5E2%2Fx\"
\n" ); document.write( "9x=\"x%5E2\"
\n" ); document.write( "9=x\r
\n" ); document.write( "\n" ); document.write( "However, when I plug this solution for x into a calculator I end up with \"%289%2B1%29%2F%289-3%29=+5%2F3\", which is not = to 9+2.\r
\n" ); document.write( "\n" ); document.write( "I hope you can explain this to me! I've been trying for hours over the past couple of days and I'm just not understanding it.\r
\n" ); document.write( "\n" ); document.write( "Thank you for taking the time to read this.
\n" ); document.write( "

Algebra.Com's Answer #313089 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
(x+1)/(x-3)=x+2 }}}\r
\n" ); document.write( "\n" ); document.write( "So far I have tried the following steps to simplify:\r
\n" ); document.write( "\n" ); document.write( "x+1=(x+2)(x-3)
\n" ); document.write( "x+1=\"x%5E2-3x%2B2x-6\"
\n" ); document.write( "x+1=\"x%5E2-x-6\"
\n" ); document.write( "x+7=\"x%5E2-x\"
\n" ); document.write( "2x+7=\"x%5E2\"
\n" ); document.write( "----
\n" ); document.write( "Good up to this point:
\n" ); document.write( "Then:
\n" ); document.write( "x^2-2x-7 = 0
\n" ); document.write( "Now use the quadratic formula to solve for \"x\":
\n" ); document.write( "x = [2 +- sqrt(4-4*-7)]/2
\n" ); document.write( "----
\n" ); document.write( "x = [2 +- sqrt(32)]/2
\n" ); document.write( "---
\n" ); document.write( "x = [2 +- 4sqrt(2)]/2
\n" ); document.write( "---
\n" ); document.write( "x = 1+2sqrt(2) or x = 1 - 2sqrt(2)
\n" ); document.write( "==========================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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