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Q1. Find roots of x^2 + 12x + 27 = 0
x^2 + 12x + 27 = (x+3)(x+9). Roots are -3 and -9.
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Q2. For x^2 - 9x + 14 = 0, what is the product of roots?
Product of roots = c/a = 14/1 = 14.
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Q3. Find roots of x^2 + 11x + 24 = 0
x^2 + 11x + 24 = (x+3)(x+8). Roots are -3 and -8.
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Q4. For x^2 - 6x + 8 = 0, what is the sum of roots?
For ax^2+bx+c=0, sum = -b/a. Here sum = 6.
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Q5. Find roots of x^2 + 10x + 16 = 0
x^2 + 10x + 16 = (x+2)(x+8). Roots are -2 and -8.
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Q6. Find roots of x^2 + 15x + 56 = 0
x^2 + 15x + 56 = (x+8)(x+7). Roots are -8 and -7.
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Q7. Find roots of x^2 + 9x + 20 = 0
x^2 + 9x + 20 = (x+4)(x+5). Roots are -4 and -5.
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Q8. Find roots of x^2 + 11x + 30 = 0
x^2 + 11x + 30 = (x+5)(x+6). Roots are -5 and -6.
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Q9. For x^2 - 16x + 63 = 0, what is the product of roots?
Product of roots = c/a = 63/1 = 63.
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Q10. For x^2 - 11x + 24 = 0, what is the sum of roots?
For ax^2+bx+c=0, sum = -b/a. Here sum = 11.
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Q11. For x^2 - 13x + 42 = 0, what is the sum of roots?
For ax^2+bx+c=0, sum = -b/a. Here sum = 13.
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Q12. For x^2 - 9x + 8 = 0, what is the sum of roots?
For ax^2+bx+c=0, sum = -b/a. Here sum = 9.
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Q13. For x^2 - 12x + 36 = 0, what is the sum of roots?
For ax^2+bx+c=0, sum = -b/a. Here sum = 12.
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Q14. For x^2 - 15x + 56 = 0, what is the product of roots?
Product of roots = c/a = 56/1 = 56.
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Q15. For x^2 - 16x + 60 = 0, what is the product of roots?
Product of roots = c/a = 60/1 = 60.
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Q16. For x^2 - 13x + 40 = 0, what is the product of roots?
Product of roots = c/a = 40/1 = 40.
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Q17. For x^2 - 12x + 27 = 0, what is the product of roots?
Product of roots = c/a = 27/1 = 27.
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Q18. For x^2 - 10x + 9 = 0, what is the sum of roots?
For ax^2+bx+c=0, sum = -b/a. Here sum = 10.
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Q19. For x^2 - 12x + 27 = 0, what is the sum of roots?
For ax^2+bx+c=0, sum = -b/a. Here sum = 12.
Not Answered
Q20. For x^2 - 20x + 100 = 0, what is the product of roots?
Product of roots = c/a = 100/1 = 100.
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Quadratic problems Practice Questions with Answers
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