find the two consecutive odd integers whose sum of squares is 290
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Answered by
4
Step-by-step explanation:
let the nos. be x and x+2
therefore x2 + ( x+2 )2 = 290
x2 + x2 + 4 +4x = 290
2x2 +4x +4 =290
x2 + 2x +2 = 145
x2 +2x -143= 0
x2 + 13x-11x -143 =0
x(x+13)-11(x-13) =0
(x-11) (x+13) =0
therefore x= 11 and 13
therefore the nos. are 11 and 13
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