find two consecutive odd positive integers , sum of whose square is 290
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Answer:
2x+1 and 2x+3
Step-by-step explanation:
(2x+1)^ +(2x+3)^=290
4x^+1+4x+4x^+9+12x=290
8x^+16x+10=290
8x^+16x-280
x^+2x-35
x^+(7-5)x-35
x^+7x-5x-35
x(x+7)-5(x+7)
(x+7)(x-5)
x=-7(does not exist)
x=5
so x= 5
so two nos.are 11 and 13
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