The sum of the squares of two consecutive positive even integers is 340. Find the integers.
There are no such integers. Proof: choose any positive whole number x two consecutive even integers: (2x) (2x+2) Take the sum (2x)+(2x+2) (2x)+(2x+2)=340 4x+2=340 4x=338 x=338/4=84.5 Since this is not a whole number, there is no whole number that satisfies the conditions. (There are two consecutive odd integers which add up to 340: 169 and 171)
Addition of two consecutive positive integers will always make an odd number. Therefore, this is an impossible sum.
There are no two consecutive even integers, consecutive odd integers, or consecutive integers that satisfy that relationship.
Two consecutive integers will be 0.5 more and 0.5 less than the quotient of their sum divided by 2. The given sum of the two consecutive integers divided by 2 is -3471.5, so the two consecutive integers are -3472 and -3471.
The sum of the squares of two consecutive positive even integers is 340. Find the integers.
12 and 14.
The integers are 12 and 14 (144+196=340)
The numbers are 12 and 14.
There are no such integers. Proof: choose any positive whole number x two consecutive even integers: (2x) (2x+2) Take the sum (2x)+(2x+2) (2x)+(2x+2)=340 4x+2=340 4x=338 x=338/4=84.5 Since this is not a whole number, there is no whole number that satisfies the conditions. (There are two consecutive odd integers which add up to 340: 169 and 171)
144 + 196 = 340 so integers are 12 & 14.
The two consecutive positive integers whose product is 380 are 19 x 20.
There are no two consecutive integers, negative or positive, whose product is 440.
The numbers are 65 and 67.
There aren't any. 340 is divisible by 4 while the sum of any two consecutive even numbers cannot be divisible by 4.There aren't any. 340 is divisible by 4 while the sum of any two consecutive even numbers cannot be divisible by 4.There aren't any. 340 is divisible by 4 while the sum of any two consecutive even numbers cannot be divisible by 4.There aren't any. 340 is divisible by 4 while the sum of any two consecutive even numbers cannot be divisible by 4.
8 & 9
It can be.