L-S=6
LS=2016
(6+S)(S)=2015
multiply out, solve the quadratic.
another way. sqrt 2016=44.89
so try numbers on each side of 45+-3
42, 48 difference six, product...
The difference between two numbers is 6. Their product is 2,016. What are the two numbers.
9 answers
a = First number
b = Second number
The difference between two numbers is 6.
This mean :
a - b = 6
Their product is 2016.
This mean :
a * b = 2016
Now :
a - b = 6 Add b to both sides
a - b + b = 6 + b
a = 6 + b
a = b + 6
Replace this value in expression :
a * b = 2016
( b + 6 ) * b = 2016
b ^ 2 + 6 b = 2016 Subtract 2016 to both sides
b ^ 2 + 6 b - 2016 = 2016 - 2016
b ^ 2 + 6 b - 2016 = 0
The solutions are :
b = - 48 and b = 42
For b = - 48
a = b + 6 = - 48 + 6 = - 42
For b = 42
a = b + 6 = 42 + 6 = 48
The solutions are :
- 48 , - 42
and
42 , 48
b = Second number
The difference between two numbers is 6.
This mean :
a - b = 6
Their product is 2016.
This mean :
a * b = 2016
Now :
a - b = 6 Add b to both sides
a - b + b = 6 + b
a = 6 + b
a = b + 6
Replace this value in expression :
a * b = 2016
( b + 6 ) * b = 2016
b ^ 2 + 6 b = 2016 Subtract 2016 to both sides
b ^ 2 + 6 b - 2016 = 2016 - 2016
b ^ 2 + 6 b - 2016 = 0
The solutions are :
b = - 48 and b = 42
For b = - 48
a = b + 6 = - 48 + 6 = - 42
For b = 42
a = b + 6 = 42 + 6 = 48
The solutions are :
- 48 , - 42
and
42 , 48
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i agree with milenakoe29 this does not help me at all
the real answer is 11 and 5
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1 answer