math

How many pairs of positive integers (a,c) satisfy a^3+125=c^3?
A. 0
B. 1
C. 2
D. 3

How Do i figure this out?

  1. 👍
  2. 👎
  3. 👁
  1. I can only see
    (0,5) and (-5,0)

    the right side has to be a perfect cube
    so it could be 1,8,27,64,125, 216
    which means that a^3 + 125 must be one of those numbers, and a^3 would be one of
    those : 124, 117, 98, ...

    does not look too promising other than the 2 I stated

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Discrete Math

    Theorem: For every integer n, if x and y are positive integers with max(x, y) = n, then x = y. Basic Step: Suppose that n = 1. If max(x, y) = 1 and x and y are positive integers, we have x = 1 and y = 1. Inductive Step: Let k be a

  2. mathematics

    Let P(x) be a nonconstant polynomial, where all the coefficients are nonnegative integers. Prove that there exist infinitely many positive integers n such that P(n) is composite. Remember that if a and b are distinct integers,

  3. math

    How many pairs of positive integers $(x,y)$ are there which lie below the graph of the hyperbola $xy = 16$?

  4. smallest of 3 integers

    The sum of the reciprocals of three consecutive positive integers is equal to 47 divided by the product of the integers. What is the smallest of the three integers?

  1. math

    Let a and b be two positive integers, where a ≥ b. Find all pairs a, b such that their sum, their positive difference, their product, and their quotient add to 36

  2. algebra

    Let $x$, $y$, and $z$ be positive real numbers that satisfy \[2 \log_x (2y) = 2 \log_{2x} (4z) = \log_{2x^4} (8yz) \neq 0.\] The value of $xy^5 z$ can be expressed in the form $\frac{1}{2^{p/q}}$, where $p$ and $q$ are relatively

  3. math

    The positive difference of the cubes of two consecutive positive integers is 111 less than five times the product of the two consecutive integers. What is the sum of the two consecutive integers?

  4. Geometry

    How many ordered triples (a, b, c) of positive integers are there which satisfy the equation a + b + c = 10 ?

  1. Another algebra

    Determine the number of positive integers n that satisfy: 1/2 < n/n+1 < 99/101 I don't know how to solve this besides plugging in random numbers, which would take all day. Any other suggestions for a faster way to solve it? Thank

  2. Algebra II

    The sum of the reciprocals of two consecutive positive integers is 17/12. Write an equation that can be used to find the two integers. What are the integers?

  3. algebra

    Provide an example of at least five ordered pairs that do not model a function. The domain will be any five integers between 0 and 20. The range will be any five integers between -10 and 10.

  4. math

    For how many ordered pairs of positive integers (x,y) is 2x+3y

You can view more similar questions or ask a new question.