Nature of roots and Sum and Product of a Quadratic Equation
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•
Mathematics
•
9th Grade
•
Hard
Sisa Carolino
Used 12+ times
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1 Slide • 10 Questions
1
Nature of roots and Sum and Product of a Quadratic Equation
2
Multiple Choice
1. Which of the following is the discriminant of the quadratic equation: 𝑥2+2𝑥+5=0?
A. -16
B. -4
C. 4
D. 16
3
Multiple Choice
2. How many real roots does the quadratic equation 5𝑥2−8𝑥+6=0 have?
A. 0
B. 1
C. 2
D. 3
4
Multiple Choice
3. Which of the following quadratic equations has real roots?
A. 𝑥2+𝑥+1=0
D. 4+3𝑥2+3x=0
C. 2𝑥2−6𝑥+6=0
D. 3𝑥2 - 9x +3=0
5
Multiple Choice
4. The roots of a quadratic equation are imaginary. Which of the following statement is true about the discriminant of equation?
A. The discriminant is negative.
B. The discriminant is equal to zero.
C. The discriminant is positive and a perfect square.
D. The discriminant is positive and not perfect square.
6
Multiple Choice
5. The roots of a quadratic equation are 2 and 5.Which of the following statement is true about the discriminant of equation?
A. The discriminant is negative.
B. The discriminant is equal to zero.
C. The discriminant is positive and not perfect square.
D. The discriminant is positive and a perfect square.
7
Multiple Choice
6. Given the equation, 4𝑥2+9𝑥−13=0, which of the following is the nature of its roots?
A. The roots are real, rational and equal.
B. The roots are imaginary and unequal.
C. The roots are real, irrational and unequal.
D. The roots are real, rational, and unequal.
8
Multiple Choice
7. The discriminant of a quadratic equation is 34. Which of the following is true about its roots?
A. The roots are real, rational and equal.
B. The roots are imaginary and unequal.
C. The roots are real, irrational and unequal.
D. The roots are real, rational, and unequal.
9
Multiple Choice
8. What is the value of 𝑡 that will make the roots of the equation 8𝑥2−4𝑡𝑥+3=0 equal?
A. 𝑡=±6
B. 𝑡=±96
C. 𝑡=±√6
D. 𝑡=±4√6
10
Multiple Choice
9. Which of the following quadratic equations has rational equal and real roots?
A. 9−6𝑥+𝑥2=0
B. 𝑥2+2𝑥+2=0
C. 𝑥2+4𝑥−21=0
D. 4𝑥2+12𝑥+10
11
Multiple Choice
10. What are the value/s of 𝑘 in the quadratic equation 2𝑥2−5𝑥−𝑘=0 whose roots are imaginary?
A. 𝑘< 25/8
B. 𝑘<−25/8
C. 𝑘>−25/8
D. 𝑘>25/8
Nature of roots and Sum and Product of a Quadratic Equation
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