document.write( "Question 65311: The speed of an airplane in still air is 214mph. The plane travels 819mi against the wind and 1505 mi with the wind in a total time of 12 hrs. what is the speed of the wind? \n" ); document.write( "
Algebra.Com's Answer #45873 by checkley71(8403)![]() ![]() ![]() You can put this solution on YOUR website! 12=819/(214-X)+1505/(214+X) \n" ); document.write( "12=[819(214+X)+1505(214-X)]/(214-X)(214+X) \n" ); document.write( "12=(175266+819X+322070-1505X)/(45796-X^2) \n" ); document.write( "12(45796-X^2)=-686X+497336 \n" ); document.write( "549552-12X^2+686X-497336=0 \n" ); document.write( "12X^2-686X-52216=0 \n" ); document.write( "USING THE QUADRATIC EQUATION WE GET X=100.4745 THE SPEED OF THE WIND \n" ); document.write( "PROOF \n" ); document.write( "12=819/(214-100.4745)+1505/(214+100.4745) \n" ); document.write( "12=819/113.5255+1505/314.4745 \n" ); document.write( "12=7.2142382+4.7857616 \n" ); document.write( "12=12 \n" ); document.write( "####################################################################### \n" ); document.write( "MERRY CHRISTMAS \n" ); document.write( " |