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(a) 1,2, ..., 16, i.e. such that the sum of all numbers in each row, each column and each diagonal is the same. What is the sum of all numbers in the first row? Suppose we want to make a magic 4 x 4 square with the numbers (Ъ) create a magic 4 × 4 square in such a way that the sum of all numbers in the first row is eaual to 30? (Hint: compare with part (a).) Do there exist 16 different strictly positive integers which we can use to (c) sides? If so, provide an example. If not, explain why not. Does there exist an equilateral triangle with rational area and irrational

(a) 1,2, ..., 16, i.e. such that the sum of all numbers in each row, each column and each diagonal is the same. What is the sum of all numbers in the first row? Suppose we want to make a magic 4 x 4 square with the numbers (Ъ) create a magic 4 × 4 square in such a way that the sum of all numbers in the first row is eaual to 30? (Hint: compare with part (a).) Do there exist 16 different strictly positive integers which we can use to (c) sides? If so, provide an example. If not, explain why not. Does there exist an equilateral triangle with rational area and irrational

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(а) 1, 2, ..., 16, i.e. such that the sum of all numbers in each row, each column and each diagonal is the same. What is the sum of all numbers in the first row? Suppose we want to make a magic 4 x 4 square with the numbers (Ъ) create a magic 4 × 4 square in such a way that the sum of all numbers in the first row is eaual to 30? (Hint: compare with part (a).) Do there exist 16 different strictly positive integers which we can use to (c) sides? If so, provide an example. If not, explain why not. Does there exist an equilateral triangle with rational area and irrational
Transcribed Image Text:(а) 1, 2, ..., 16, i.e. such that the sum of all numbers in each row, each column and each diagonal is the same. What is the sum of all numbers in the first row? Suppose we want to make a magic 4 x 4 square with the numbers (Ъ) create a magic 4 × 4 square in such a way that the sum of all numbers in the first row is eaual to 30? (Hint: compare with part (a).) Do there exist 16 different strictly positive integers which we can use to (c) sides? If so, provide an example. If not, explain why not. Does there exist an equilateral triangle with rational area and irrational
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