document.write( "Question 922428: The length of a rectangle is 3 units less than 6 times its width. The area of the rectangle is 145 square units. Which of the following equations can be used to find w, the width of the rectangle?\r
\n" ); document.write( "\n" ); document.write( "A. 7w - 3 = 145
\n" ); document.write( "B. 6w^2 - 18w = 145
\n" ); document.write( "C. 7w - 18 = 145
\n" ); document.write( "D. 6w^2 - 3w = 145 \n" ); document.write( "

Algebra.Com's Answer #559575 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!

 
\n" );
document.write( "Hi,
\n" );
document.write( "     .
\n" );
document.write( "A = Lw
\n" );
document.write( "(6w-3)w = 145
\n" );
document.write( "6w^2 -3w = 145
\n" );
document.write( ".........
\n" );
document.write( "6w^2 - 3w - 145 = 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=3489 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: 5.17231314187412, -4.67231314187412.\n" );
document.write( "Here's your graph:
\n" );
document.write( "\n" );
document.write( "  \n" );
document.write( "

\n" );