CSS - PMS - CCE - PCS - 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.
CSS - PMS - CCE - PCS - 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.
CSS - PMS - CCE - PCS - 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.
CSS - PMS - CCE - PCS - 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.
CSS - PMS - CCE - PCS - 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.
CSS - PMS - CCE - PCS - 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.
CSS - PMS - CCE - PCS - 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.
CSS - PMS - CCE - PCS - 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.
CSS - PMS - CCE - PCS - 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.
CSS - PMS - CCE - PCS - 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.
CSS - PMS - CCE - PCS - 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.
CSS - PMS - CCE - PCS - 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.
CSS - PMS - CCE - PCS - Mathematics
Algebra
For x² + 4x + 3 = 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=16-4(3)=4; its sign determines root type.
CSS - PMS - CCE - PCS - Mathematics
Algebra
For x² + 3x + 2 = 0, what does the discriminant indicate?
A. 0
B. Two distinct real roots
C. Two non-real complex roots
D. One repeated real root
Correct Answer: B
D=9-4(2)=1; its sign determines root type.
CSS - PMS - CCE - PCS - Mathematics
Algebra
For x² + 2x + 1 = 0, what does the discriminant indicate?
A. 0
B. Two distinct real roots
C. Two non-real complex roots
D. One repeated real root
Correct Answer: D
D=4-4(1)=0; its sign determines root type.
CSS - PMS - CCE - PCS - Mathematics
Algebra
Solve: x² − 78x + 1325 = 0.
A. x = −25 or x = −53
B. x = 1325
C. x = 25 or x = 53
D. x = 78
Correct Answer: C
Factor: (x-25)(x-53)=0.
CSS - PMS - CCE - PCS - Mathematics
Algebra
Solve: x² − 75x + 1224 = 0.
A. x = 75
B. x = 1224
C. x = 24 or x = 51
D. x = −24 or x = −51
Correct Answer: C
Factor: (x-24)(x-51)=0.
CSS - PMS - CCE - PCS - Mathematics
Algebra
Solve: x² − 72x + 1127 = 0.
A. x = 72
B. x = 1127
C. x = −23 or x = −49
D. x = 23 or x = 49
Correct Answer: D
Factor: (x-23)(x-49)=0.
CSS - PMS - CCE - PCS - Mathematics
Algebra
Solve: x² − 69x + 1034 = 0.
A. x = −22 or x = −47
B. x = 22 or x = 47
C. x = 69
D. x = 1034
Correct Answer: B
Factor: (x-22)(x-47)=0.
CSS - PMS - CCE - PCS - Mathematics
Algebra
Solve: x² − 66x + 945 = 0.
A. x = 66
B. x = 21 or x = 45
C. x = −21 or x = −45
D. x = 945
Correct Answer: B
Factor: (x-21)(x-45)=0.