Let the two consecutive positive numbers be ( x ) and ( x + 1 ). The equation for the sum of their squares is ( x^2 + (x + 1)^2 = 164 ). Simplifying this gives ( x^2 + x^2 + 2x + 1 = 164 ), or ( 2x^2 + 2x - 163 = 0 ). Solving this quadratic equation, we find ( x = 9 ) and ( x + 1 = 10 ). Thus, the two consecutive positive numbers are 9 and 10.
12 and 14.
82 + 102 = 64 + 100 = 164
The numbers are 8 and 9.
Let the two consecutive numbers be ( n ) and ( n + 1 ). The difference of their squares can be expressed as ( (n + 1)^2 - n^2 ), which simplifies to ( 2n + 1 ). Setting this equal to 25, we get the equation ( 2n + 1 = 25 ). Solving for ( n ), we find ( n = 12 ), so the two consecutive numbers are 12 and 13.
Find two consecutive numbers with the value of 4160
The sum of the squares of two consecutive positive even integers is 340. Find the integers.
12 and 14.
The numbers are 65 and 67.
82 + 102 = 64 + 100 = 164
The product of 2 consecutive positive number is 48. Find the 2 numbers
Ans - 7and 8
The numbers are 8 and 9.
Let the two consecutive numbers be ( n ) and ( n + 1 ). The difference of their squares can be expressed as ( (n + 1)^2 - n^2 ), which simplifies to ( 2n + 1 ). Setting this equal to 25, we get the equation ( 2n + 1 = 25 ). Solving for ( n ), we find ( n = 12 ), so the two consecutive numbers are 12 and 13.
5 and 7 52+72 = 74
Find two consecutive numbers with the value of 4160
169 = 144 + 25, so your numbers are 12 & 5.
The two consecutive negative odd integers having 74 as the sum of their squares are -5 and -7.