Free Quadratic Equations MCQs with Answers
28 Quadratic Equations MCQs from Mathematics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.
Quadratic equations contain a squared variable and can be solved by factorisation, completing the square, the quadratic formula, or graphical reasoning. Questions cover roots, the discriminant, and the relationship between roots and coefficients, while distinguishing real and repeated roots from complex or non-real roots.
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28 questions · page 2 of 2
- A. 29
- B. 27
- C. 28
- D. 7
Explanation: Let the two roots be t and 3t. Their sum is t + 3t = 12, so 4t = 12 and t = 3; the roots are therefore 3 and 9, whose product is a = 3 x 9…
Correct answer: 27- A. 9, 10
- B. 10, 11
- C. 11, 12
- D. 12, 13
Explanation: Let the consecutive positive integers be n and n + 1. Their square sum exceeds their product by n² + (n + 1)² - n(n + 1) = n² + n + 1 =…
Correct answer: 9, 1023. If the roots of the equation 2x2 - 5x + b = 0 are in the ratio of 2:3, then find the value of b?
- A. 3
- B. 4
- C. 5
- D. 6Enrolling In Online Certification Courses
Explanation: If the roots are 2k and 3k, their sum is 5k = 5/2 because the sum of roots is 5/2, so k = 1/2.
Correct answer: 3- A. 10, 3
- B. -10, 3
- C. -20, 3
- D. -10, -3
Explanation: For a quadratic x² + 20x + 3 = 0, the sum of roots is -20 and the product of roots is 3, using the relations -coefficient of x and…
Correct answer: -20, 3- A. x2 + 13x - 140 = 0
- B. x2 - 13x + 140 = 0
- C. x2 - 13x - 140 = 0
- D. x2 + 13x + 140 = 0
Explanation: A monic quadratic with roots 20 and -7 is (x - 20)(x + 7) = 0. Expanding gives x² - 13x - 140 = 0, since the sum of roots is 13 and the…
Correct answer: x2 - 13x - 140 = 0- A. rational and unequal
- B. complex
- C. real and equal
- D. irrational and unequal
Explanation: The discriminant of 3x² - 12x + 10 = 0 is D = (-12)² - 4 x 3 x 10 = 144 - 120 = 24.
Correct answer: irrational and unequal- A. 3, -3/2
- B. 3/2, -3
- C. -3/2, -3
- D. 3/2, 3
Explanation: For 2x^2 + 3x - 9 = 0, factorisation gives (2x - 3)(x + 3) = 0. Hence x = 3/2 or x = -3.
Correct answer: 3/2, -3- A. -5, 3
- B. 3, 5
- C. -3, 5
- D. -3, -5
Explanation: The equation x^2 + 2x - 15 = 0 factors as (x + 5)(x - 3) = 0. Therefore the roots are x = -5 and x = 3.
Correct answer: -5, 3