document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=965427>Question 965427</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The side lengths of a triangle are the integral roots of the equation<BR>\n" );
document.write( "x^3 - 16x^2 + 85x - 150 = 0<BR>\n" );
document.write( "What is the area of the triangle? (Use Heron's formula for the area of a triangle) </SPAN>\n" );
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document.write( "By using synthetic division we get x=5 is a root.<BR>\n" );
document.write( "x^3 - 16x^2 + 85x - 150 = 0<BR>\n" );
document.write( "(x-5)(x^2-11x+30)=0<BR>\n" );
document.write( "(x-5)(x^2-5x-6x+30)=0<BR>\n" );
document.write( "(x-5)(x(x-5)-6(x-5))=0<BR>\n" );
document.write( "(x-5)(x-5)(x-6)=0<BR>\n" );
document.write( "The three sides of the triangle are 5,5 and 6.<BR>\n" );
document.write( "Semi perimeter s=(5+5+6)/2=16/2=8<BR>\n" );
document.write( "Area=&#8730;s(s-a)(s-b)(s-c)=&#8730;8(8-5)(8-5)(8-6)=&#8730;8(3)(3)(2)=&#8730;144=12<BR>\n" );
document.write( "Answer= 12 square units. </SPAN>\n" );
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