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Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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please help me with my homework question 4 and 5 

2. The roots of x +4x-7=0 are
(1) unequal and rational
(3) unequal and irrational
(2) unequal and imaginary
(4) equal and rational
3. Which of the following quadratics has imaginary roots?
(1) x² +3x- 5=0
(3) 2x² – 3x+1=0
(2) x² + 6x+10= 0
(4) x² – 7x+10= 0
4. Which of the following quadratic, when graphed, would touch the x-axis exactly once?
(1) y =x² - 2x-3
(3) у %3 х* +5х-2
(2) y=2x² +3x+7
(4) у-х* - 12х+36
COMMON CORE ALGEBRA II, UNIT #9 – COMPLEX NUMBERS – LESSON #4
eMATHINSTRUCTION, RED HOOK, NY 12571, © 2015
5. If graphed, which of the following parabolas would lie entirely below the x-axis?
(1) y = x² +5x+10
(3) y=-2x² +6x-5
(2) y =-2x² – 5x+3
(4) y=x² +6x+9
6. Which parabola below, when graphed, would cross the x-axis at two unequal irrational locations?
(1) y = 2x +11x+12
(3) у 3D 9х?- 6х +1
Transcribed Image Text:2. The roots of x +4x-7=0 are (1) unequal and rational (3) unequal and irrational (2) unequal and imaginary (4) equal and rational 3. Which of the following quadratics has imaginary roots? (1) x² +3x- 5=0 (3) 2x² – 3x+1=0 (2) x² + 6x+10= 0 (4) x² – 7x+10= 0 4. Which of the following quadratic, when graphed, would touch the x-axis exactly once? (1) y =x² - 2x-3 (3) у %3 х* +5х-2 (2) y=2x² +3x+7 (4) у-х* - 12х+36 COMMON CORE ALGEBRA II, UNIT #9 – COMPLEX NUMBERS – LESSON #4 eMATHINSTRUCTION, RED HOOK, NY 12571, © 2015 5. If graphed, which of the following parabolas would lie entirely below the x-axis? (1) y = x² +5x+10 (3) y=-2x² +6x-5 (2) y =-2x² – 5x+3 (4) y=x² +6x+9 6. Which parabola below, when graphed, would cross the x-axis at two unequal irrational locations? (1) y = 2x +11x+12 (3) у 3D 9х?- 6х +1
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