Find two consecutive positive integers, sum of whose square is 365
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Answer:
13 and 14
Step-by-step explanation:
let one number be X
another be X+1
so
(X+1)^2 + (X)^2= 365
x^2 + 1 + 2x +x^2 =365
2x^2 + 2x - 364 =0
divide both sides by 2
x^2 +1x - 182 =0
x^2 -14x+13x - 182 =0
x(x - 14 ) + 13 (x- 14)= 0
(X- 13) ( x- 14)
x=13 x= 14
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