document.write( "Question 549665: Using Quadratic Formula:
\n" );
document.write( "The hypotenuse of a right triangle is 6 meters long. One leg is 1 meter longer than the other. Find the lengths of both legs of the triangle, to the nearest hindredth of a meter.
\n" );
document.write( "Show all work! \n" );
document.write( "
Algebra.Com's Answer #357927 by mananth(16949) You can put this solution on YOUR website! one leg x \n" ); document.write( "the other leg x+1\r \n" ); document.write( "\n" ); document.write( "hypotenuse = 6m\r \n" ); document.write( "\n" ); document.write( "Pythagoras theorem \n" ); document.write( " \n" ); document.write( "(Hyp)^2= (leg1)^2+Leg2^2\r \n" ); document.write( "\n" ); document.write( "6^2=x^2+(x+1)^2 \n" ); document.write( "36=x^2+x^2+2x+1 \n" ); document.write( "36=2x^2+2x+1 \n" ); document.write( "2x^2+2x-35=0\r \n" ); document.write( "\n" ); document.write( "Find the roots of the equation by quadratic formula \n" ); document.write( " \n" ); document.write( "a= 2 ,b= 2 ,c= -35 \n" ); document.write( " \n" ); document.write( "b^2-4ac= 4 + 280 \n" ); document.write( "b^2-4ac= 284 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "x1=( -2 + 16.85 )/ 4 \n" ); document.write( "x1= 3.71 \n" ); document.write( "x2=( -2 -16.85 ) / 4 \n" ); document.write( "x2= -4.71 \n" ); document.write( " \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |