document.write( "Question 900760: Two cars leave an intersection, one traveling west and the other south. After some time, the faster car is 7 miles farther away from the intersection than the slower car. At that time, the two cars are 13 miles apart. How far did each car travel?\r
\n" ); document.write( "\n" ); document.write( "My work: x^2+(x+7)^2=13^2
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\n" ); document.write( "2x^2+7x+7x=169
\n" ); document.write( "2x^2+14x=169
\n" ); document.write( "2x^2+14x-155=0 \n" ); document.write( "

Algebra.Com's Answer #546119 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!

 
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document.write( "Hi 
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document.write( "x^2+(x+7)^2=13^2      Note: (x+7)^2 = (x+7)(x+7) =  x^2 + 14x + 49
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document.write( " x^2+ x^2 + 14x + 49 =169
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document.write( "2x^2 + 14x = 169-49
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document.write( "2x^2 + 14x = 120
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document.write( "x^2 + 7x - 60 = 0
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document.write( "Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation  (in our case ) has the following solutons:
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document.write( "  For these solutions to exist, the discriminant  should not be a negative number.
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document.write( "  First, we need to compute the discriminant : .
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document.write( "  Discriminant d=73 is greater than zero. That means that there are two solutions: .
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document.write( "    Quadratic expression  can be factored:
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document.write( "  Again, the answer is: 0.772001872658765, -7.77200187265877.\n" );
document.write( "Here's your graph:
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