A. 15
B. 14
C. 24
D. 26
Explanation:
a/b + b/a = (a2 + b2)/ab = (a2 + b2 + a + b)/ab
= [(a + b)2 – 2ab]/ab
a + b = -8/1 = -8
ab = 4/1 = 4
Hence a/b + b/a = [(-8)2 – 2(4)]/4 = 56/4 = 14.
Related Mcqs:
- If the roots of a quadratic equation are 20 and -7, then find the equation?
A. x2 + 13x – 140 = 0
B. x2 – 13x + 140 = 0
C. x2 – 13x – 140 = 0
D. x2 + 13x + 140 = 0 - Find the quadratic equations whose roots are the reciprocals of the roots of 2x2 + 5x + 3 = 0?
A. 3x2 + 5x – 2 = 0
B. 3x2 + 5x + 2 = 0
C. 3x2 – 5x + 2 = 0
D. 3x2 – 5x – 2 = 0 - Find the roots of the quadratic equation: x2 + 2x – 15 = 0?
A. -5, 3
B. 3, 5
C. -3, 5
D. -3, -5 - Find the roots of the quadratic equation: 2×2 + 3x – 9 = 0?
A. 3, -3/2
B. 3/2, -3
C. -3/2, -3
D. 3/2, 3 - The sum and the product of the roots of the quadratic equation x(power 2) + 20x + 3 = 0 are?
A. 10, 3
B. -10, 3
C. -20, 3
D. -10, -3 - Find the roots of quadratic equation: 2x2 + 5x + 2 = 0?
A. -2, -1/2
B. 4, -1
C. 4, 1
D. -2, 5/2 - Find the roots of quadratic equation: x2 + x – 42 = 0?
A. -6, 7
B. -8, 7
C. 14, -3
D. -7, 6 - Find the roots of quadratic equation: 3x2 – 7x – 6 = 0?
A. -6, 3
B. 3, -2/3
C. -5, 2
D. -9, 2 - One root of the quadratic equation x2 – 12x + a = 0, is thrice the other. Find the value of a?
A. 29
B. 27
C. 28
D. 7 - If a and b are the roots of the equation x2 – 9x + 20 = 0, find the value of a2 + b2 + ab?
A. -21
B. 1
C. 61
D. 21