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Quadratic Equations and Their Solution... V esign Layout References A A Aa PE A A lili x = x = Two-Solutions y= x-2x-3 x-

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Quadratic Equations and Their Solution... V esign Layout References A A Aa PE A A lili x = x = Two-Solutions y= x-2x-3 x- 2x 3 = 0 Mailings Paragraph 2(-2) - 4(1)(-3) 2 16 2 2(1) 2+4 2 -26 ==== -1,3 2'2 Tehan, Kate yn E Comment Review View Help Table Design Layout Find P T AaBbCcI AaBbCcI AaBbC Replace 1 Normal 1 No Spac... Heading 1 Dictate Sensitivit Select Styles Editing Voice Sensitivity Equations One-Solution 2 y=x + 4x + 4 x+4x+4=0 -4+(4)2-4x1x4 X= 2+1 No Solutions y=x +4 x+4=0 00-4x1x4 X= -4+16-16 2 +0 140 = -2, -2 2 X 2x1 01-16 X- 2 -16 2 Positive number in the discriminant. b 4ac > 0 Two distinct real-number solutions. Can also factor. (x + 1)(x-3) = 0 y = x - 2x - 3 y Zero in discriminant b2-4ac=0 All two roots are real and equal Can also factor as: (x+2)(x+2)=0 Associated Graphs Negative number is discriminant. b 4ac0 No real root exists Cannot be factored further in real number system X Two Distinct x-intercepts. The graph also opens up as a > 0. ions: On Accessibility: Investigate W One (repeated) x-intercept. No x-intercepts. The graph also opens down as a < 0. The graph also opens up as a > 0. DFocus 78F Sunny

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