SOLUTION: The difference between the reciprocal of two consecutive positive even number is 1/12. Find the two numbers.
Algebra.Com
Question 191912: The difference between the reciprocal of two consecutive positive even number is 1/12. Find the two numbers.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The difference between the reciprocal of two consecutive positive even number is 1/12. Find the two numbers.:
:
Two numbers x, (x+2)
:
The equation for the above statement:
- =
;
Multiply equation by 12x(x+2)
12x(x+2)* - 12x(x+2)* = 12x(x+2)*
Cancel out the denominators and you have:
12x - 12(x+2) = x(x+2)
:
12x - 12x + 24 = x^2 + 2x
:
0 = x^2 + 2x - 24; a quadratic equation
Factors to:
(x+6)(x-4) = 0
positive solution
x = 4, and 6 are the two numbers
;
:
Check solution in our original equation
- =
- =
RELATED QUESTIONS
The difference between the reciprocal of two cosecutive positive even number is 1/12.... (answered by orca)
The difference between the reciprocal of two cosecutive positive even numbers is 1/12.... (answered by edjones)
the difference between the cubes of two consecutive even numbers is 296.find the... (answered by Alan3354)
The product of two consecutive positive even numbers is 16 greater than 16 times of the... (answered by CubeyThePenguin)
One positive number is 1/5 of another number. The difference between the two numbers is... (answered by JBarnum)
one positive number is 1/5 of another number. the difference between the two numbers is... (answered by stanbon)
One positive number is 1/5 of another number. The difference between the two numbers is... (answered by josgarithmetic,rfer)
One positive number is 1/5 of another number. the difference between the two numbers is... (answered by dileepkumarabhijith)
If two consecutive even numbers are such that 5/6 of the reciprocal of one is
equal to... (answered by mananth)