Mathematics
Algebra
For 2x² −11x + 3=0, what is the product of roots?
A. −11⁄2
B. 3⁄2
C. 11⁄2
D. −3⁄2
Correct Answer: B
Product=c⁄a.
Mathematics
Algebra
For 1x² −10x + 9=0, what is the sum of roots?
A. −10
B. −9
C. 10
D. 9
Correct Answer: C
Sum=−b⁄a.
Mathematics
Algebra
For 3x² −9x + 8=0, what is the product of roots?
A. 8⁄3
B. −8⁄3
C. −3
D. 3
Correct Answer: A
Product=c⁄a.
Mathematics
Algebra
For 2x² −8x + 7=0, what is the sum of roots?
A. 7⁄2
B. 4
C. −4
D. −7⁄2
Correct Answer: B
Sum=−b⁄a.
Mathematics
Algebra
For 1x² −7x + 6=0, what is the product of roots?
A. 7
B. −6
C. 6
D. −7
Correct Answer: C
Product=c⁄a.
Mathematics
Algebra
For 3x² −6x + 5=0, what is the sum of roots?
A. −5⁄3
B. 2
C. 5⁄3
D. −2
Correct Answer: B
Sum=−b⁄a.
Mathematics
Algebra
For 2x² −5x + 4=0, what is the product of roots?
A. 2
B. −2
C. 5⁄2
D. −5⁄2
Correct Answer: A
Product=c⁄a.
Mathematics
Algebra
For 1x² −4x + 3=0, what is the sum of roots?
A. −3
B. 4
C. −4
D. 3
Correct Answer: B
Sum=−b⁄a.
Mathematics
Algebra
For x² + 2x + 15 = 0, what does the discriminant indicate?
A. Two non-real complex roots
B. Two distinct real roots
C. 0
D. One repeated real root
Correct Answer: A
D=4-4(15)=−56; its sign determines root type.
Mathematics
Algebra
For x² + 8x + 14 = 0, what does the discriminant indicate?
A. One repeated real root
B. Two non-real complex roots
C. Two distinct real roots
D. 0
Correct Answer: C
D=64-4(14)=8; its sign determines root type.
Mathematics
Algebra
For x² + 7x + 13 = 0, what does the discriminant indicate?
A. 0
B. One repeated real root
C. Two non-real complex roots
D. Two distinct real roots
Correct Answer: C
D=49-4(13)=−3; its sign determines root type.
Mathematics
Algebra
For x² + 6x + 12 = 0, what does the discriminant indicate?
A. Two non-real complex roots
B. One repeated real root
C. Two distinct real roots
D. 0
Correct Answer: A
D=36-4(12)=−12; its sign determines root type.
Mathematics
Algebra
For x² + 5x + 11 = 0, what does the discriminant indicate?
A. Two non-real complex roots
B. Two distinct real roots
C. 0
D. One repeated real root
Correct Answer: A
D=25-4(11)=−19; its sign determines root type.
Mathematics
Algebra
For x² + 4x + 10 = 0, what does the discriminant indicate?
A. Two non-real complex roots
B. 0
C. One repeated real root
D. Two distinct real roots
Correct Answer: A
D=16-4(10)=−24; its sign determines root type.
Mathematics
Algebra
For x² + 3x + 9 = 0, what does the discriminant indicate?
A. Two non-real complex roots
B. One repeated real root
C. Two distinct real roots
D. 0
Correct Answer: A
D=9-4(9)=−27; its sign determines root type.
Mathematics
Algebra
For x² + 2x + 8 = 0, what does the discriminant indicate?
A. Two distinct real roots
B. One repeated real root
C. 0
D. Two non-real complex roots
Correct Answer: D
D=4-4(8)=−28; its sign determines root type.
Mathematics
Algebra
For x² + 8x + 7 = 0, what does the discriminant indicate?
A. One repeated real root
B. Two non-real complex roots
C. Two distinct real roots
D. 0
Correct Answer: C
D=64-4(7)=36; its sign determines root type.
Mathematics
Algebra
For x² + 7x + 6 = 0, what does the discriminant indicate?
A. Two distinct real roots
B. One repeated real root
C. Two non-real complex roots
D. 0
Correct Answer: A
D=49-4(6)=25; its sign determines root type.
Mathematics
Algebra
For x² + 6x + 5 = 0, what does the discriminant indicate?
A. 0
B. One repeated real root
C. Two distinct real roots
D. Two non-real complex roots
Correct Answer: C
D=36-4(5)=16; its sign determines root type.
Mathematics
Algebra
For x² + 5x + 4 = 0, what does the discriminant indicate?
A. Two non-real complex roots
B. One repeated real root
C. Two distinct real roots
D. 0
Correct Answer: C
D=25-4(4)=9; its sign determines root type.