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Answer:
{15, 16} or {-15, -16}
Step-by-step explanation:
Quick solution:
take half of the sum (approx. 240), sqrt(240)=15.5
So the numbers are 15 and 16. and also the negative equivalents since squares are always positive.
Exact method:
Let
x=smaller integer,
x+1 = next integer.
sum:
x²⁺(x+1)^2 = 481
2x^2 + 2x + 1 = 481
2x^2 + 2x - 480 = 0
x^2 + x -240 = 0
x = 15 or x = -16
so the integers are
either
{15, 16} or {-15, -16}
Answer:
Step-by-step explanation:
x2 + (x+1)2 =481
x2 + x2 + 2x +1 = 481
2x2 +2x - 480 = 0
2( x2 + x - 240) = 0
x2 + 16x - 15x - 240 = 0
(x+16) (x-15) = 0
x= -16 (ignore) , x= 15
1st integer = x = 15
2nd integer= x+1 = 15 +1 = 16