document.write( "Question 860504: the height of a triangle is 4 feet less than the base. The area of the triangle is 198 square feet. Fine the length of the base and the height of the triangle\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "1/2(x(x+4)=198
\n" ); document.write( "1/2(x^2+4)=198
\n" ); document.write( "x^2+4x-396
\n" ); document.write( "I don't know whats next
\n" ); document.write( "

Algebra.Com's Answer #518455 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
 
\n" ); document.write( "Hi,
\n" ); document.write( "Question States***height of a triangle is 4 feet less than the base
\n" ); document.write( "1/2(x(x-4)=198
\n" ); document.write( "1/2(x^2-4x)=198
\n" ); document.write( "x^2-4x-396 = 0 |Hint: sqrt(396) = ~19.9 (2*8) ends in 6
\n" ); document.write( "(x -22)(x+18) = 0 (Tossing out the negative solution for unit measure)
\n" ); document.write( " x = 22ft, the width. Then length is 18ft
\n" ); document.write( "Or quadratic Eq always works
\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 \"ax%5E2%2Bbx%2Bc=0\" (in our case \"1x%5E2%2B-4x%2B-396+=+0\") has the following solutons:
\n" ); document.write( "
\n" ); document.write( " \"x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca\"
\n" ); document.write( "
\n" ); document.write( " For these solutions to exist, the discriminant \"b%5E2-4ac\" should not be a negative number.
\n" ); document.write( "
\n" ); document.write( " First, we need to compute the discriminant \"b%5E2-4ac\": \"b%5E2-4ac=%28-4%29%5E2-4%2A1%2A-396=1600\".
\n" ); document.write( "
\n" ); document.write( " Discriminant d=1600 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28--4%2B-sqrt%28+1600+%29%29%2F2%5Ca\".
\n" ); document.write( "
\n" ); document.write( " \"x%5B1%5D+=+%28-%28-4%29%2Bsqrt%28+1600+%29%29%2F2%5C1+=+22\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%28-4%29-sqrt%28+1600+%29%29%2F2%5C1+=+-18\"
\n" ); document.write( "
\n" ); document.write( " Quadratic expression \"1x%5E2%2B-4x%2B-396\" can be factored:
\n" ); document.write( " \"1x%5E2%2B-4x%2B-396+=+1%28x-22%29%2A%28x--18%29\"
\n" ); document.write( " Again, the answer is: 22, -18.\n" ); document.write( "Here's your graph:
\n" ); document.write( "\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1%2Ax%5E2%2B-4%2Ax%2B-396+%29\"
\n" ); document.write( " \n" ); document.write( "
\n" );