document.write( "Question 79119: how do i decide all values of b in the following equations that will give one or more real number solutions? If an equation has solution how do i write a rule for judging by looking at it in standard form?\r
\n" );
document.write( "\n" );
document.write( "a. 3x^2+bx-3=0
\n" );
document.write( "b. 5x^2+bx+1=0
\n" );
document.write( "c. -3x^2+bx-3=0 \n" );
document.write( "
Algebra.Com's Answer #56790 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! how do i decide all values of b in the following equations that will give one or more real number solutions? If an equation has solution how do i write a rule for judging by looking at it in standard form?\r \n" ); document.write( "\n" ); document.write( "a. 3x^2+bx-3=0 \n" ); document.write( "b. 5x^2+bx+1=0 \n" ); document.write( "c. -3x^2+bx-3=0\r \n" ); document.write( "\n" ); document.write( "---------- \n" ); document.write( "Rule: \n" ); document.write( "b^2-4ac must be >=0 \n" ); document.write( "--------------- \n" ); document.write( "a. b^2-4*3*-3>=0 \n" ); document.write( "b^2>=-36 \n" ); document.write( "b can be any Real Number Value \n" ); document.write( ".------------------------------------ \n" ); document.write( "b. b^2-4*5*3>=0 \n" ); document.write( "b^2>=60 \n" ); document.write( "b>=2sqrt15 or b<=-2sqrt15 \n" ); document.write( "------------------ \n" ); document.write( "c. b^2-4*-3*-3>=0 \n" ); document.write( "b^2>=36 \n" ); document.write( "b>=6 or b<=-6\r \n" ); document.write( "\n" ); document.write( "============= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |