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Three consecutive natural numbers are such that the sauare oftnumber exceeds the difference of the squares of thÄ other two bynumbers.he middle60. Find the2t 2ye |
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Answer» let three consecutive numbers be x,x+1,x+2 by given condition(x+1)^2 = x^2 - (x+2)^2 + 60x^2+ 2x + 1 =x^2 -( x^2+4x+4)+60x^2+2x+1 = - (4x+4)+60x^2+6x+5--60=0x^2 + 6x -- 55=0(x+11)(x- 5)=0so x= --11 or x=5but x is natural numberso x= 5 So three consecutive natural numbers are 5,6,7 |
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