document.write( "Question 32201: Show that neither x=1 nor x=-1 cxan be solution to the equations ax^2+2bx+a=0 where a and b are integers with b odd. \n" ); document.write( "
Algebra.Com's Answer #18780 by venugopalramana(3286) You can put this solution on YOUR website! LET F(X)=AX^2+BX+A......NOT 2BX I THINK AS YOU CAN SEE BELOW....IF X=1 IS TO BE A SOLUTION THEN \n" ); document.write( "F(1)=A+B+A=2A+B=0.....NOW B IS ODD...IT CANT B EQUAL TO -2A WHICH IS AN EVEN NUMBER. \n" ); document.write( "SIMILARLY...F(-1)=A-B+A=2A-B=0.....NOW B IS ODD...IT CANT B EQUAL TO 2A WHICH IS AN EVEN NUMBER. \n" ); document.write( "HENCE X=1 OR -1 BE THE SOLUTION... \n" ); document.write( "YOU CAN SEE THAT THIS WILL NOT BE THE CASE IF IT IS 2B AND NOT B. \n" ); document.write( " |