Solutions 8481

For which integers x is the ratio (x + 11) / (x + 7) an integer? Find all solutions.

Correct answer:

x1 =  -3
x2 =  -5
x3 =  -6
x4 =  -8
x5 =  -9
x6 =  -11

Step-by-step explanation:

x1​=−3 k1​=(x1​+11)/(x1​+7)=((−3)+11)/((−3)+7)=2
x2​=−5 k2​=(x2​+11)/(x2​+7)=((−5)+11)/((−5)+7)=3
x3​=−6 k3​=(x3​+11)/(x3​+7)=((−6)+11)/((−6)+7)=5
x4​=−8 k4​=(x4​+11)/(x4​+7)=((−8)+11)/((−8)+7)=−3
x5​=−9 k5​=(x5​+11)/(x5​+7)=((−9)+11)/((−9)+7)=−1
x6​=−11 k6​=(x6​+11)/(x6​+7)=((−11)+11)/((−11)+7)=0

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You need to know the following knowledge to solve this word math problem:

algebraarithmeticbasic operations and conceptsnumbersthemes, topicsGrade of the word problem

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