Science, asked by arunyadav67, 1 year ago

Find three consecutive integers whose sum and product is equal.

Answers

Answered by muskan3792
0

Answer:

3,2,1

Explanation:

3×2×1=6

3+2+1=6


muskan3792: right
Answered by superjunior
1

Annyeonghaseyo

Let the three integers be x, (x+1), (x-1)

Given that their product and sum is just equal.

So, A.T.Q

(x) + (x + 1) + (x - 1) = (x)(x + 1)(x - 1) \\  \\ 3x =  {x}^{2}  + x(x - 1) \\  \\ 3x  =  {x}^{3}  - x +  {x}^{2}  - x \\  \\ 3x =  {x}^{2}  + x \\  \\ 3x - x =  {x}^{2}  \\  \\  \frac{2x}{x}  = x \\  \\ 2 = x \\  \\ </p><p></p><p></p><p>

we got the value of x that is 2.

other numbers are 2-1 = 1 and 2+1 = 3

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