U. Alfred, Consecutive integers whose sum of squares is a perfect square, Mathematics Magazine, 19-32, 1964.Alfred, Brother U. “Consecutive integers whose sum of squares is a perfect square”. Mathematics Magazine , Vol. 37(1964): pp 19–32....
1) sum of squares 平方和 1. We prove that if 9 divides k or k is divisible by a prime q (q= ± 5 (mod 12)), then thesum of squaresof any k consecutive positive integers cannot be a nth power of prime (n ∈ N). 对给定的正整数k,证明了:当9|k或q|k(q=±5(mod 12)是一...
The sum of the squares of three consecutive positive integers is 194. What are the three consecutive positive numbers? Quadratic Equations An equation with the power of 2 is called a quadratic equation. Such equations are solved using two main method...
1.We prove that if 9 divides k or k is divisible by a prime q (q= ± 5 (mod 12)), then the sum of squares of any k consecutive positive integers cannot be a nth power of prime (n ∈ N).对给定的正整数k,证明了:当9|k或q|k(q=±5(mod 12)是一个素数)时,任何k个连续正整数...
Two consecutive even positive integers, sum of squares of which is 1060, are (a) 12 and 14 (b) 20 and 22 (c) 22 and 24 (d) 15 and 18
The Sum of Squares Calculator is used to calculate the sum of first n squares or the sum of consecutive square numbers from n12to n22. Sum of Squares Formula The sum of the first n square numbers is equal to: n(n + 1)(2n + 1) / 6 ...
using algebra...with x and x+2 the two consecutive odd integers x2+(x+2)2=202 x2+x2+4x+4=202 2x2+4x+4-202=0 2x2+4x-198=0 divide both sides by 2 x2+2x-99=0 factor (x+11)(x-9)=0 x-9=0 x=9 x+2=11 Upvote • 0 Downvote Add comment Loga...
sum of the squares of the two numbers is 58 .3.One number is 9 more than another. if thr product of the two number is -20.4.find three consecutive positive even integers such that the square of the *** allest exceeds three times the largest by 6 .这是数学的题目 ...
The two consecutive positive odd integers ,the sum of whose squares is 130 are A7,9 B9,6 C3,−5 DNone of theseSubmit The two consecutive positive odd integers ,the sum of whose squares is 130 are A7,9 B9,6 C3,-5 DNone of theseSubmit Find two consecutive odd positive integers,...
The sum of the squares of three consecutive positive integers is 7805. What is the sum of the cubes of the three original integers? The difference of the cubes of two consecutive odd positive integers is 400 more than the sum of their squares. Find the ...