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Three consecutive positive integers are such that the sum of the square of the first and the product of other two is 46, find the integers.

Text Solution

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Let the numbers are `x,x+1,x+2`
Now,
`x^2+(x+1)(x+2)=46`
`=>x^2+x^2+2x+x+2=46`
`=>2x2+3x−44=0`
`=>(x+(22)/4)(x-4)=0`
So,
...
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