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Quadratic Equations – MCQs
28 questions. Click to practice.
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1.
A quadratic equation x² - 12x + a = 0 has roots where one root is three times the other. What is the value of a?
29
27
28
7
2.
Two consecutive positive integers have the property that the sum of their squares is 91 more than their product. What are these integers?
9 and 10
10 and 11
11 and 12
12 and 13
3.
Given the quadratic equation 2x² - 5x + b = 0, if its roots are in the ratio 2:3, what is the value of b?
3
4
5
6
7
4.
What are the sum and product of the roots for the quadratic equation x² + 20x + 3 = 0?
10, 3
-10, 3
-20, 3
-10, -3
5.
Given that the roots of a quadratic equation are 20 and -7, what is the corresponding quadratic equation?
x² + 13x - 140 = 0
x² - 13x + 140 = 0
x² - 13x - 140 = 0
x² + 13x + 140 = 0
6.
What type of roots does the quadratic equation 3x² - 12x + 10 = 0 have?
Rational and distinct
Complex conjugates
Real and identical
Irrational and distinct
None of the above
7.
Determine the solutions for the quadratic equation: 2x² + 3x - 9 = 0.
3 and -1.5
1.5 and -3
-1.5 and -3
1.5 and 3
None of the above
8.
What are the solutions to the quadratic equation x² + 2x - 15 = 0?
-5 and 3
3 and 5
-3 and 5
-3 and -5
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