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Answer:
8, 10, 3
Step-by-step explanation:
For finding real solutions to cubic equations and those of higher degree, I find a graphing calculator to be useful. The problem can be cast in the form ...
f(x) = 0
where f(x) is the difference between the product of the integers and 240:
f(x) = x(x +2)(x -5) -240
Then all we need to do is ask the calculator to show the x-intercept. It is x=8.
So, the three integers are ...
- x = 8
- x+2 = 10
- x -5 = 3
To calculate the distance between two points we use this formula:
- x₁ = -5
- x₂ = -3
- y₁ = 8
- y₂ = 0
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We apply the values already obtained to the formula to get the distance: