Quadratic Equations MCQs here cover topics like Quadratic formula calculator, quadratic equation calculator, completing the square calculator, and quadratic functions. Quadratic Equation questions with answers and explanations. Quadratic equations mcqs pdf, Complex Numbers MCQs with solution PDF and 100 questions on quadratic equations PDF.
I. 9a2 + 18a + 5 = 0,II. 2b2 + 13b + 20 = 0 to solve both the equations to find the values of a and b ?
A. If a < b
B. If a ≤ b
C. If a > b
D. If a ≥ bExplanation:
I. 9a2 + 3a + 15a + 5 = 0
=>(3a + 5)(3a + 1) = 0 => a = -5/3, -1/3
II. 2b2 + 8b + 5b + 20 = 0
=>(2b + 5)(b + 4) = 0 => b = -5/2, -4
a is always more than b.
a > b.I. a3 – 988 = 343,II. b2 – 72 = 49 to solve both the equations to find the values of a and b ?
A. If a ≥ b
B. If a ≤ b
C. If a > b
D. If a < bExplanation:
a3 = 1331 => a = 11
b2 = 121 => b = ± 11
a ≥ bI. a2 – 13a + 42 = 0,II. b2 – 15b + 56 = 0 to solve both the equations to find the values of a and b ?
A. If a < b
B. If a ≤ b.
C. . If a > b
D. If a ≥ bExplanation:
I. a2 – 13a + 42 = 0
=>(a – 6)(a – 7) = 0 => a = 6, 7
II. b2 – 15b + 56 = 0
=>(b – 7)(b – 8) = 0 => b = 7, 8
=>a ≤ bFind the roots of quadratic equation: 2×2 + 5x + 2 = 0 ?
A. 4, 1
B. -2, 5/2
C. -2, -1/2
D. 4, -1Explanation:
2×2 + 4x + x + 2 = 0
2x(x + 2) + 1(x + 2) = 0
(x + 2)(2x + 1) = 0 => x = -2, -1/2Find the roots of quadratic equation: x2 + x – 42 = 0 ?
A. 14, -3
B. -7, 6
C. -6, 7
D. -8, 7Explanation:
x2 + 7x – 6x + 42 = 0
x(x + 7) – 6(x + 7) = 0
(x + 7)(x – 6) = 0 => x = -7, 6Find the roots of quadratic equation: 3×2 – 7x – 6 = 0 ?
A. 3, -2/3
B. -9, 2
C. -6, 3
D. -5, 23×2 – 9x + 2x – 6 = 0
3x(x – 3) + 2(x – 3) = 0
(x – 3)(3x + 2) = 0 => x = 3, -2/3