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7. What is the nature of roots of the quadratic equation if the d= 23 A. 2 = rational roots + roots D. 2 imaginary roots 8. What is the nature of the roots of the quadratic equation if the d = 121? B. 2 irrational & roots C. 2 rational but A. 2 = rational roots B. 2 irrational & + roots C. 2 rational but %3D + roots D. 2 imaginary roots 9. What are the roots of the quadratic equation - 7x + 6 = 0 ? В. -6, 1 А. -6, -1 С. 6, -1 D. 6, 1 10. Find the sum and product of the roots if the equation is 3x² - 12x 9 = 0. A. 4 & 3 В. -4 & 3 С. 4 & -3 D. -4 & -3 11. What is the discriminant of the quadratic equation 3 - 5x + 4 = 0 ? A. -73 В. -23 С. 23 D. 73 12. Which of the following quadratic equations has these roots : -2 and 3? А. - х — 6 %3 0 D. +x - 6 = 0 В. - х+6 — 0 C. +x + 6 = 0 13. Which of the following quadratic equations can be solved easily by extracting square roots? A. - 9x+12 = 0 D. - 3x - 10 = 0 B. + 7x – 10 = 0 C. 4 - 9 = 0

7. What is the nature of roots of the quadratic equation if the d= 23 A. 2 = rational roots + roots D. 2 imaginary roots 8. What is the nature of the roots of the quadratic equation if the d = 121? B. 2 irrational & roots C. 2 rational but A. 2 = rational roots B. 2 irrational & + roots C. 2 rational but %3D + roots D. 2 imaginary roots 9. What are the roots of the quadratic equation - 7x + 6 = 0 ? В. -6, 1 А. -6, -1 С. 6, -1 D. 6, 1 10. Find the sum and product of the roots if the equation is 3x² - 12x 9 = 0. A. 4 & 3 В. -4 & 3 С. 4 & -3 D. -4 & -3 11. What is the discriminant of the quadratic equation 3 - 5x + 4 = 0 ? A. -73 В. -23 С. 23 D. 73 12. Which of the following quadratic equations has these roots : -2 and 3? А. - х — 6 %3 0 D. +x - 6 = 0 В. - х+6 — 0 C. +x + 6 = 0 13. Which of the following quadratic equations can be solved easily by extracting square roots? A. - 9x+12 = 0 D. - 3x - 10 = 0 B. + 7x – 10 = 0 C. 4 - 9 = 0

Advanced Engineering Mathematics
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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7. What is the nature of roots of the quadratic equation if the d= 23 ? A. 2 = rational roots + roots D. 2 imaginary roots 8. What is the nature of the roots of the quadratic equation if the d B. 2 irrational & + roots C. 2 rational but 121? A. 2 = rational roots B. 2 irrational & + roots C. 2 rational but + roots D. 2 imaginary roots 9. What are the roots of the quadratic equation - 7x + 6 = 0 ? В. -6, 1 А. -6, -1 С. 6, -1 D. 6, 1 10. Find the sum and product of the roots if the equation is 3x² - 12x 9 = 0. - A. 4 & 3 В. -4 & 3 С. 4 & -3 D. -4 & -3 11. What is the discriminant of the quadratic equation 3 - 5x + 4 = 0 ? A. -73 В. -23 С. 23 D. 73 12. Which of the following quadratic equations has these roots : -2 and 3? A. - x – 6 = 0 D. + x - 6 = 0 В. - х+6 — 0 С. +x +6 3D 0 13. Which of the following quadratic equations can be solved easily by extracting square roots? A. - 9x+12 = 0 B. + 7x – 10 = 0 D. - 3x - 10 = 0 C. 4 - 9 = 0
Transcribed Image Text:7. What is the nature of roots of the quadratic equation if the d= 23 ? A. 2 = rational roots + roots D. 2 imaginary roots 8. What is the nature of the roots of the quadratic equation if the d B. 2 irrational & + roots C. 2 rational but 121? A. 2 = rational roots B. 2 irrational & + roots C. 2 rational but + roots D. 2 imaginary roots 9. What are the roots of the quadratic equation - 7x + 6 = 0 ? В. -6, 1 А. -6, -1 С. 6, -1 D. 6, 1 10. Find the sum and product of the roots if the equation is 3x² - 12x 9 = 0. - A. 4 & 3 В. -4 & 3 С. 4 & -3 D. -4 & -3 11. What is the discriminant of the quadratic equation 3 - 5x + 4 = 0 ? A. -73 В. -23 С. 23 D. 73 12. Which of the following quadratic equations has these roots : -2 and 3? A. - x – 6 = 0 D. + x - 6 = 0 В. - х+6 — 0 С. +x +6 3D 0 13. Which of the following quadratic equations can be solved easily by extracting square roots? A. - 9x+12 = 0 B. + 7x – 10 = 0 D. - 3x - 10 = 0 C. 4 - 9 = 0
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