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.Management Sciences
Category: Quadratic Equations
The sum of the square of the three consecutive even natural numbers is 1460. Find the numbers?
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A. 18, 20, 22
B. 20, 22, 24
C. 22, 24, 26
D. 24, 26, 28
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(i). a2 + 11a + 30 = 0,
(ii). b2 + 6b + 5 = 0 to solve both the equations to find the values of a and b?
A. If a < b
B. If a ≤ b
C. If the relationship between a and b cannot be established
D. If a > b
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Find the roots of quadratic equation: 3x2 – 7x – 6 = 0?
A. -6, 3
B. 3, -2/3
C. -5, 2
D. -9, 2
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I. x2 + 3x – 18 = 0,
II. y2 + y – 30 = 0 to solve both the equations to find the values of x and y?
A. If x < y
B. If x > y
C. If x ≤ y
D. If x ≥ y
E. If x = y or the relationship between x and y cannot be established.
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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
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(i). a2 – 9a + 20 = 0,
(ii). 2b2 – 5b – 12 = 0 to solve both the equations to find the values of a and b?
A. If a < b
B. If a ≤ b
C. If the relationship between a and b cannot be established
D. If a ≥ b
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Find the roots of quadratic equation: 2x2 + 5x + 2 = 0?
A. -2, -1/2
B. 4, -1
C. 4, 1
D. -2, 5/2
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I. x2 + 9x + 20 = 0,
II. y2 + 5y + 6 = 0 to solve both the equations to find the values of x and y?
A. If x < y
B. If x > y
C. If x ≤ y
D. If x ≥ y
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The sum of the squares of two consecutive positive integers exceeds their product by 91. Find the integers?
A. 9, 10
B. 10, 11
C. 11, 12
D. 12, 13
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