document.write( "Question 898615: Solve the equation2+5+8+11+.........+x=345
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #544932 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!

 
\n" );
document.write( "Hi
\n" );
document.write( "Arithmetic : d = 3
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( " 3n^2 + n = 690
\n" );
document.write( " 3n^2 + n - 690 = 0
\n" );
document.write( " \n" );
document.write( "\n" );
document.write( " \n" );
document.write( "\n" );
document.write( "Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation  (in our case ) has the following solutons:
\n" );
document.write( "  
\n" );
document.write( "  
\n" );
document.write( "  
\n" );
document.write( "  For these solutions to exist, the discriminant  should not be a negative number.
\n" );
document.write( "  
\n" );
document.write( "  First, we need to compute the discriminant : .
\n" );
document.write( "  
\n" );
document.write( "  Discriminant d=8281 is greater than zero. That means that there are two solutions: .
\n" );
document.write( "  
\n" );
document.write( "    
\n" );
document.write( "    
\n" );
document.write( "    
\n" );
document.write( "    Quadratic expression  can be factored:
\n" );
document.write( "  
\n" );
document.write( "  Again, the answer is: 15, -15.3333333333333.\n" );
document.write( "Here's your graph:
\n" );
document.write( "

\n" );
document.write( "\n" );
document.write( "n = 15 
\n" );
document.write( "
\n" );
document.write( " 
\n" );
document.write( "   x = 44
\n" );
document.write( "check: 15(2 + 44)/2 = 345
\n" );
document.write( "  \n" );
document.write( "

\n" );