I have set up the problem and solved it by trial and error but I don't know how to solve

timer Asked: Feb 5th, 2015

Question description

There is only one set of 4 consecutive positive integers such that the sum of the cubes of three of them is equal to the cube of the remaining one . what is the smallest of these four integers?

As I see it:

x cubed + ( X + 1) cubed + (x + 2) cubed = (x + 3) cubed

Answer: 3

Integers 3, 4, 5, 6 by trial

Tutor Answer

(Top Tutor) Studypool Tutor
School: Rice University
Studypool has helped 1,244,100 students
flag Report DMCA
Similar Questions
Hot Questions
Related Tags

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors