document.write( "Question 31502: When using the quadratic formula to solve a quadratic equation (ax2 + bx + c = 0), the discriminant is b2 - 4ac. This discriminant can be positive, zero, or negative.\r
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document.write( "Create three unique equations where the discriminant is positive, zero, or negative. For each case, explain what this value means to the graph of y = ax2 + bx + c.
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Algebra.Com's Answer #18248 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! When using the quadratic formula to solve a quadratic equation (ax2 + bx + c = 0), the discriminant is b2 - 4ac. This discriminant can be positive, zero, or negative.\r \n" ); document.write( "\n" ); document.write( "Create three unique equations where the discriminant is positive \n" ); document.write( "Y=X^2-5X+6=0 \n" ); document.write( "D=5^2-4*6=25-24=1 \n" ); document.write( "Y HAS POSITIVE AND NEGATIVE VALUES \n" ); document.write( ", zero, \n" ); document.write( "Y=X^2-4X+4=0 \n" ); document.write( "D=4^2-4*4=0 \n" ); document.write( "Y IS ALWAYS >=0\r \n" ); document.write( "\n" ); document.write( "or negative \n" ); document.write( "Y=X^2+4=0 \n" ); document.write( "D=0-4*4=-16 \n" ); document.write( "Y IS ALWAYS POSITIVE.(OR IT CAN BE ALWAYS NEGATIVE...AS IN CASE OF Y=-X^2) \n" ); document.write( ". For each case, explain what this value means to the graph of y = ax2 + bx + c. \n" ); document.write( " |