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The reciprocal of two times a certain integer plus the reciprocal of 2 more than twice the integer equals 7 divided by 24?
3 AND -4/7 are solutions to the equation (but because the question asked for the integer that satisfies the equation only 3 is correct since -4/7 is not an integer).
Let x be the number. Solve the following equation for x:
(1/2x)+(1/(2x+2))=7/24 [Now you need a common denominator on the left side, so and multiply the second term by (2x) in the numerator and the denominator.]
(2x+2)/(2x(2x+2))+(2x/(2x(2x+2))=7/24 [Now multiply both sides by (2x(2x+2)) and 24 to clear the denominators on both sides.]
24*(2x+2+2x)=7*2x(2x+2) [Multiply out the left and right sides and combine terms to simplify.]
96x+48=28x2+28x [Divide both side by four and solve the quadratic equation.]
24x+12=7x2+7x
7x2-17x-12=0 [The easiest way to solve this (if the factorization is not obvious) is to us the quadratic equation.]
x=(17+/-sqrt(172-4*7*(-12)))/(2*7)
x=(17+/-sqrt(289+336))/(14)
x=(17+/-25)/(14)
x=42/14=3 OR x=-8/14=-4/7
Instead of the quadratic equation, you can observe that the above quadratic equation can be factored into:
(x-3)(7x+4)=0, which yields the same solutions.
The A+ answer is 3.
What else can I help you with?
The reciprocal of an integer plus the reciprocal of two times the integer plus two equals 2 over 3 Find the integer?
It is 2.
An integer minus 3 times its reciprocal equals 26over3?
9
The reciprocal of two times a certain integer plus the reciprocal of 2 more than twice the integer equals?
1/2n + 1/(2n+2) = 1/2*[(1/n + 1/(n+1)] = 1/2*(2n+1)/[n*(n+1)] or (2n+1)/[2*n*(n+1)]
What is the answer to 4 divided by one fifth?
To divide 4 by one fifth, you can multiply 4 by the reciprocal of one fifth. The reciprocal of one fifth is 5. Therefore, 4 divided by one fifth equals 4 × 5, which equals 20.
What is 2.5 divided by 0.001?
2500
The reciprocal of an integer plus the reciprocal of two times the integer plus two equals Find the integer?
2
The reciprocal of an integer plus the reciprocal of two times the integer plus two equals 2 over 3 Find the integer?
It is 2.
The reciprocal of two times a certains integer plus the reciprocal of 2 more than twice the integer equals 724 what is the integer?
??? explain better.
An integer minus 3 times its reciprocal equals 26over3?
9
A positive integer divided by a Negative integer equals what?
Negative.
Frequency divided by the speed of light equals?
That would be the reciprocal of wavelength.( 1 ) divided by (wavelength) .
What is the reciprocal of 0.1?
10
The reciprocal of two times a certain integer plus the reciprocal of 2 more than twice the integer equals?
1/2n + 1/(2n+2) = 1/2*[(1/n + 1/(n+1)] = 1/2*(2n+1)/[n*(n+1)] or (2n+1)/[2*n*(n+1)]
When a nonzero integer is divided by it's opposite is -1?
Yes, when a nonzero integer is divided by it's opposite it's value equals -1
What is the answer to 4 divided by one fifth?
To divide 4 by one fifth, you can multiply 4 by the reciprocal of one fifth. The reciprocal of one fifth is 5. Therefore, 4 divided by one fifth equals 4 × 5, which equals 20.
The reciprocal of an integer plus the reciprocal of two times the integer plus two equals 23 Find the integer?
This question can be expressed algebraically as: (1/n) + (1/(2n)) + 2 = 23, (1/n) + (1/(2n)) =21, ((1+2)/(2n)) = 21, (3/(2n)) = 21, or 2n = (3/21), 2n = (1/7), so n = (1/14). This, by the way, is an elementary algebraic proof that the solution to the above relation is (1/14). Anyway, to answer the question, reread the question: "[What integer is such that] the reciprocal of the integer...". notice, the reciprocal of (1/14) is 14, which is the integer in question! ^_^
What is the reciprocal of .75?
The reciprocal of a number is simply 1 divided by that number. Therefore, the reciprocal of 0.75 is 1 divided by 0.75, which equals 1.3333 recurring or 4/3 in fraction form.
