document.write( "Question 198389: Quadratic Equation
\n" ); document.write( "9. The area of a triangle is 20cm^2, and the altitude is 4cm greater than the base. Find the length of the base, to the nearest millimetre.
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Algebra.Com's Answer #148944 by edjones(8007)\"\" \"About 
You can put this solution on YOUR website!
(1/2)ab=A
\n" ); document.write( "a=b+4
\n" ); document.write( "(1/2)b(b+4)=20
\n" ); document.write( "b^2+4b=40
\n" ); document.write( "b^2+4b-40=0
\n" ); document.write( "b^2+4b =40
\n" ); document.write( "b^2+4b+4=40+4 completing the square.
\n" ); document.write( "(b+2)^2=44
\n" ); document.write( "b+2=+-sqrt(44)
\n" ); document.write( "b=-2+-sqrt(11*4)
\n" ); document.write( "b=-2+-2sqrt(11)
\n" ); document.write( "b=-2+2sqrt(11) cm, b=-2-2sqrt(11) cm
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\n" ); document.write( "Ed
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