Eat these roots
Consider the equation .
Let the largest real root of this equation be and the smallest real root .
Find .
The answer is 3.
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1 solution
The equation factors as ( x − 1 ) ( x − 2 ) ( x 2 + x + 1 )
The quadratic is irreducible and has no real roots. So the only two real roots are 1 and 2. 1+ 2 = 3 .