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__________________
MCF 3M!
Quadratic Number Problems
1. Two consecutive integers have a product of 56. Determine the integers.
2. An integer and its square differ by 20. Find the integer.
3. The sum of the squares of three consecutive integers is 149. Determine the integers.
4. Two numbers differ by seven and the sum of their squares is 389. Find the numbers.
5. Two numbers add to 20 and the sum of their squares is 272. Find the numbers.
6. The product of two consecutive even integers is 224. Find the integers.
7. The sum of a number and its square is 272. Find the number.
8. The sum of the squares of two consecutive negative integers is 481. Find the integers.
9. The product of two consecutive odd integers is 323. Find the integers.
10. The difference between three times a number and its square is 378. Find the number.
1 1 The sum of the squares of three consecutive positive integers is 434. Find the integers.
.
12. The difference between a number and its square is 420. Find the number.
13. The product of two consecutive negative odd integers is 195. Find the integers.
14. The sum of a number and twice its square is 253. Find the number.
15. Two numbers add to 30 and their product is 209. Find the numbers.
16. The product of two consecutive even integers is 528. Find the integers.
17. The sum of twice a number and three times its square is 261. Find the number.
1 8. The sum of the squares of three consecutive even integers is 1 16. Find the integers.
Answers:
.
(1)7&8or-8&-7
(2)5or-4
(3)6,7,8or-8,-7,-6
(4) 1O& l7or-17&-1O
(5)4& 16
(6) 14& l6or-16&-14
(7) l6or-17
(8)—16&—15
(9) 17& l9or-19&-17
(1O)-18or21
(11) 11, 12, 13
(12)21 or-20
(13)-13&-15
(14)11or—--
(15)11&19
(16) 22 & 24 or -24 & -22
2
(17)9or—
(18)4,6,8or-8,-6,-4