document.write( "Question 795150: find the points of intersection of the hyperbola 4x^2-y^2=15 and x^2-9y^2=-5.
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Algebra.Com's Answer #480846 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! find the points of intersection of the hyperbola 4x^2-y^2=15 and x^2-9y^2=-5. \n" ); document.write( "*** \n" ); document.write( "4x^2-y^2=15 \n" ); document.write( "y^2=4x^2-15 \n" ); document.write( ".. \n" ); document.write( "x^2-9y^2=-5 \n" ); document.write( "9y^2=x^2+5 \n" ); document.write( "y^2=x^2/9+5/9 \n" ); document.write( ".. \n" ); document.write( "4x^-15=x^2/9+5/9 \n" ); document.write( "LCD:9 \n" ); document.write( "36x^2-135=x^2+5 \n" ); document.write( "35x^2=140 \n" ); document.write( "x^2=4 \n" ); document.write( "x=±√4=±2 \n" ); document.write( "y^2=4x^2-15 \n" ); document.write( "y^2=16-15=1 \n" ); document.write( "y=±1 \n" ); document.write( "points of intersection: \n" ); document.write( "(2,1), (2,-1), (-2,1), (-2,-1) \n" ); document.write( " |