The product of two consecutive +ve integers is 306 find integers
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The product of two consecutive positive integers is 306. Therefore the numbers are 17 and 18.
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Question
- The product of two consecutive +ve integers is 306 find integers?
Answer
- Numbers are 17 and 18
Given
- Product of two consecutive positive integers is 306
To Calculate
- Integers __?
Explanation
Product of two consecutive positive integers is 306 ( Given)
Let two consecutive numbers are x and x+1
According to question
⇝ x+ (x+1) = 306
⇝ x²+x=306
⇝ x²+18x-17x-306=0
⇝ x(x+18)-17(x+18)=0
⇝ (x+18)(x-17)=0
⇝ x+18=0,x-17=0
⇝ x=-18,x=17
So,
Numbers are x = 17 , x+1 =18
- Numbers are 17 and 18
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