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This Concept Map, created with IHMC CmapTools, has information related to: StewartUnger Quadratic formula, a, b, and c which are inputs for <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mfrac> <mrow> <mtext> -b + </mtext> <msqrt> <mrow> <mtext> b </mtext> <mmultiscripts> <mtext> </mtext> <none/> <mtext> 2 </mtext> </mmultiscripts> <mtext> - 4ac </mtext> </mrow> </msqrt> </mrow> <mtext> 2a </mtext> </mfrac> </mrow> </math>, quadratic formula finds the roots of a second order polynomial, the roots of a second order polynomial determined by determinant, the roots of a second order polynomial can be 2 roots, the roots of a second order polynomial can be 1 root, 2 roots which are 2 real numbers, <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mtext> = </mtext> <msqrt> <mrow> <mtext> b </mtext> <mmultiscripts> <mtext> </mtext> <none/> <mtext> 2 </mtext> </mmultiscripts> <mtext> - 4ac </mtext> </mrow> </msqrt> </mrow> </math> is negative 1 real and 1 imaginary root, 2nd order polynomial is <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mtext> of form ax </mtext> <mmultiscripts> <mtext> </mtext> <none/> <mtext> 2 </mtext> </mmultiscripts> <mtext> + bx + c = 0 </mtext> </mrow> </math>, the roots of a second order polynomial of the <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mtext> of form ax </mtext> <mmultiscripts> <mtext> </mtext> <none/> <mtext> 2 </mtext> </mmultiscripts> <mtext> + bx + c = 0 </mtext> </mrow> </math>, <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mtext> = </mtext> <msqrt> <mrow> <mtext> b </mtext> <mmultiscripts> <mtext> </mtext> <none/> <mtext> 2 </mtext> </mmultiscripts> <mtext> - 4ac </mtext> </mrow> </msqrt> </mrow> </math> =0 1 root, <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mtext> of form ax </mtext> <mmultiscripts> <mtext> </mtext> <none/> <mtext> 2 </mtext> </mmultiscripts> <mtext> + bx + c = 0 </mtext> </mrow> </math> which gives a, b, and c, 2 roots which are 1 real and 1 imaginary root, <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mtext> = </mtext> <msqrt> <mrow> <mtext> b </mtext> <mmultiscripts> <mtext> </mtext> <none/> <mtext> 2 </mtext> </mmultiscripts> <mtext> - 4ac </mtext> </mrow> </msqrt> </mrow> </math> is positive 2 real numbers, determinant equals <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mtext> = </mtext> <msqrt> <mrow> <mtext> b </mtext> <mmultiscripts> <mtext> </mtext> <none/> <mtext> 2 </mtext> </mmultiscripts> <mtext> - 4ac </mtext> </mrow> </msqrt> </mrow> </math>, <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mtext> = </mtext> <msqrt> <mrow> <mtext> b </mtext> <mmultiscripts> <mtext> </mtext> <none/> <mtext> 2 </mtext> </mmultiscripts> <mtext> - 4ac </mtext> </mrow> </msqrt> </mrow> </math> not zero 2 roots, quadratic formula is <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> <mfrac> <mrow> <mtext> -b + </mtext> <msqrt> <mrow> <mtext> b </mtext> <mmultiscripts> <mtext> </mtext> <none/> <mtext> 2 </mtext> </mmultiscripts> <mtext> - 4ac </mtext> </mrow> </msqrt> </mrow> <mtext> 2a </mtext> </mfrac> </mrow> </math>, the roots of a second order polynomial are where the function hits the x axis