Let the first integer be x. Then the next consecutive integer is x+1.
Translating the word problem into symbols, x(x+1)-20(x+1) = 442.
Then x^2 + x - 20x - 20 = 442
or x^2 - 19x - 462 = 0
Solve by completing the square:
x^2 - 19x + 90.25 - 90.25 - 462 = 0
(x-9.5)^2 - 552.25 = 0
Taking the positive square root of both sides, we get x-9.5 = 23.5, or
x = 33
The two consecutive integers are 33 and 34.
Check: (33)(34)-20(34) = 442 (as expected).
Answer:
Step-by-step explanation:
Remark
I take it that 24 is in front of j which means that the term is 24j. There shouldn't be a comma there.
Both numbers have 8 in common, and that's all they have in common. The GCF is therefore, 8
24j - 16 = 8(3j - 2) That's the answer.
Answer: 8 (3j - 2)
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x = 4
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