a pair of integers whose product is 15 and difference is 8
Answers
Answered by
14
3 and 5
3×5=15
3+5=8
:-)
3×5=15
3+5=8
:-)
Answered by
5
Let the two integers be m and n
Now according to the question,
mn= 15.....(1)
m-n= 8 ....(2)
From (2)
m=8+n
(8+n)*n= 15
8n + n^2 = 15
n^2 + 8n -15 = 0
On solving this quadratic equation
We get -3,-5
m-(-3)= 8
m+3=8
m= 5
mn = 15
5*n = 15
n= 3
Hence the two integers are 3,5
Now according to the question,
mn= 15.....(1)
m-n= 8 ....(2)
From (2)
m=8+n
(8+n)*n= 15
8n + n^2 = 15
n^2 + 8n -15 = 0
On solving this quadratic equation
We get -3,-5
m-(-3)= 8
m+3=8
m= 5
mn = 15
5*n = 15
n= 3
Hence the two integers are 3,5
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