document.write( "Question 406473: Please help me with my Algebra 2 math homework. I just need help on one question: how does one solve: x^2-13x+42=0
\n" ); document.write( "
\n" ); document.write( "Here is what I have so far: Subtract 42 from both sides. Divide -13 by 2 and square -6.5 to get 42.25. Add 42.25 to both sides. Now my equation is
\n" ); document.write( "x^2-13x+42.25=0.25.
\n" ); document.write( " Now, how can I factor out the equation to solve it?
\n" ); document.write( " Thank you for your help!
\n" ); document.write( "

Algebra.Com's Answer #286807 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
solve:
\n" ); document.write( "x^2-13x+42=0
\n" ); document.write( "---
\n" ); document.write( "Think of two numbers whose product is 42
\n" ); document.write( "and whose sum = -13
\n" ); document.write( "-----
\n" ); document.write( "The numbers are -6 and -7
\n" ); document.write( "-----------------------------
\n" ); document.write( "Rewrite the equation replacing -13x by -6x-7x
\n" ); document.write( "-----
\n" ); document.write( "x^2-6x-7x+42 = 0
\n" ); document.write( "---
\n" ); document.write( "Factor:
\n" ); document.write( "x(x-6)-7(x-6) = 0
\n" ); document.write( "---
\n" ); document.write( "(x-6)(x-7) = 0
\n" ); document.write( "---
\n" ); document.write( "x = 6 or x = 7
\n" ); document.write( "====================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "====================
\n" ); document.write( "
\n" ); document.write( "
\n" );