document.write( "Question 64562: I need help with 4 problems that I,m stuck on, its not in my book. 1. (x-8)(x+4)>0 2. (a+5)(a-1)(a-6)>0 3. 9x+x(x-8)=0 4. p^2-12p+35>0 \n" ); document.write( "
Algebra.Com's Answer #46519 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! I need help with 4 problems that I,m stuck on, its not in my book. \n" ); document.write( "1. SAY Y=(x-8)(x+4)>0 \n" ); document.write( "LET ME GIVE YOU THE METHOD USING NUMBER LINE PROCEDURE. \n" ); document.write( "1.WRITE THE INEQUALITY AS AN EQUALITY....THAT IS \n" ); document.write( "Y=(X-8)(X+4)=0 \n" ); document.write( "2.FIND THE ROOTS \n" ); document.write( "X-8=0......X=8 \n" ); document.write( "X+4=0.......X=-4 \n" ); document.write( "THE 2 ROOTS ARE 8 AND -4 \n" ); document.write( "3.WRITE THE ROOTS IN AN INCREASING ORDER \n" ); document.write( "-4,8 \n" ); document.write( "4.DRAW A NUMBER LINE FROM -INFINITY TO PLUS INFINITY AS BELOW \n" ); document.write( "-INFINITY|____________________________________________________|+INFINITY \n" ); document.write( " \n" ); document.write( "5.LOCATE THE 2 ROOTS ON THE LINE.AS SHOWN \r \n" ); document.write( "\n" ); document.write( "-INFINITY|___________________________________________________|+INFINITY \n" ); document.write( "..............................-4....................8.................. \n" ); document.write( "6.START FROM RIGHT MOST OR BIGGEST ROOT.....X=8 HERE \n" ); document.write( "7.Y IS +VE IN THE ZONE FROM THIS TO +INFINITY..THAT IS X=+8 TO +INFINITY...Y>0 \n" ); document.write( "8.TRAVEL LEFT TO THE NEXT ROOT...THAT IS FROM X=8 TO -4.IN THIS ZONE Y IS -VE. \n" ); document.write( "9.TRAVEL FURTHER LEFT TO THE NEXT ROOT.IN THIS ZONE Y WILL BE AGAIN +VE. ..THERE ARE NO MORE ROOTS HERE.HENCE SKIP TO 11. \n" ); document.write( "10.CONTINUE LIKE THIS FROM ONE ROOT TO THE OTHER.IN THESE ZONES Y WILL ALTERNATE FROM +VE TO -VE TO +VE TO -VE....ETC.. \n" ); document.write( "11.AFTER THE LAST ROOT GO TO -INFINITY.Y WILL BE +VE OR -VE DEPENDING ON THE SIGN IN THE PREVIOUS ZONE.HERE IN THE PREVIOUS ZONE OF X=-4 TO 8.. Y IS -VE.HENCE FROM -4 TO -INFINITY Y WILL BE +VE. \n" ); document.write( "12. ANSWER .....Y IS POSITIVE FOR X>8 AND X<-4 \n" ); document.write( " \n" ); document.write( "FOLLOW THE SAME METHOD AND TRY THE OTHERS .IF IN STILL DIFFICULTY PLEASE COME BACK \n" ); document.write( "2. Y=(a+5)(a-1)(a-6)>0 \n" ); document.write( "ANSWER...Y WILL BE +VE FOR A>6 AND -5\n" ); document.write( "\n" ); document.write( "3. 9x+x(x-8)=0 \n" ); document.write( "FACTORISE.. \n" ); document.write( "9X+X^2-8X=0 \n" ); document.write( "X^2+X=0 \n" ); document.write( "X(X+1)=0 \n" ); document.write( "X=0....OR....X=-1\r \n" ); document.write( "\n" ); document.write( "4. Y=p^2-12p+35>0 \n" ); document.write( "FACTORISE \n" ); document.write( "(P-5)(P-7)>0 \n" ); document.write( "ANSWER \n" ); document.write( "Y WILL BE +VE FOR P>7 AND P<5 \n" ); document.write( " |