Answered

Makakuha ng eksaktong mga sagot sa iyong mga tanong sa IDNStudy.com. Hanapin ang impormasyon na kailangan mo nang mabilis at madali sa pamamagitan ng aming komprehensibo at eksaktong platform ng tanong at sagot.

the sum of the squares of three consecutive negative integers is 434

Sagot :

let 'x' be one of the numbers
    'x+1' be the second number
   'x+2' the last number
squaring the three numbers you'll have:
x² + (x+1)² + (x+2)² = 434
x² + x² + 2x + 1 + x² + 4x + 4 = 434
3x² + 6x + 5 - 434 = 0
3x² + 6x - 429 = 0
dividing the whole equation with 3
x² + 2x - 143 = 0
(x + 13)(x-11) = 0
x = -13, x = 11
taking the negative integer you'll have the other 2 as:
x = -13
x + 1 = -13 + 1
         = -12
x + 2 = -13 + 2
        = -11
therefore the numbers are -13,-12,-11