document.write( "Question 809097: Can you please help me with this question: If B Is not equal to 0, classify the graph of x^2 +Bxy+F=0 for all values of F. Prove all your statement. Thank you \n" ); document.write( "
Algebra.Com's Answer #487411 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! standard form of a conic is \n" ); document.write( "Ax^2 +Bxy +Cy^2 +Dx +Ey +F = 0 \n" ); document.write( "now our equation is \n" ); document.write( "x^2 +Bxy +F = 0 \n" ); document.write( "to characterize the graph we must look at the discriminant, that is \n" ); document.write( "B^2 -4AC \n" ); document.write( "we know that C=0 and B is not equal to 0, therefore we have \n" ); document.write( "B^2 which is > 0 which makes this a hyperbola for all values of F\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |