document.write( "Question 994043: Please help me work this problem out: solve and write in interval notation.\r
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document.write( "x2 + 3x + 5 ≥ 0\r
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document.write( "Thank you!!!!!!! \n" );
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Algebra.Com's Answer #613236 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! x^2+3x+5 >=0 \n" ); document.write( "quadratic formula. Find the roots. \n" ); document.write( "x=(1/2) (-3 +/- sqrt (9+20)) \n" ); document.write( "sqrt (29)=5.385 \n" ); document.write( "x>=(1/2)(2.385) or x=1.193 \n" ); document.write( "x<=(1/2)(-8.385) or x =-4.193 \n" ); document.write( "These are the roots. One can graph (see below) or look at these critical points. \n" ); document.write( "Look at -5; 25-15+5 is greater than or equal to zero, so everything to the left of the negative root works. \n" ); document.write( "Look between the roots. Zero is the easiest to use. 5 is not greater than 0, so this is not part of the solution. \n" ); document.write( "Look at x=2. 4+6+5 is greater than 0, so this is part of the solution. \n" ); document.write( "x<= -4.193 and x>= 1.193 are the solutions. \n" ); document.write( "The portion of the graph above the y-axis is where the x values solve the equation. \n" ); document.write( " |