SOLUTION: Find the smallest integer p such that x^2-2x+p is always greater than 3.

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Question 967789: Find the smallest integer p such that x^2-2x+p is always greater than 3.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The discriminant of x%5E2-2x%2Bp-3 must be negative:

%28-2%29%5E2-4%2A%28p-3%29%3C0 and then find the necessary integer p which works.