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We need to perform a completing the square at the end. As it turns out, (m - 4)^2 has a minimum output value of 0 (typical of any squared expression), so (m - 4)^2 + 4 must have a minimum output value of 4 which is already above 0.
In other words, the discriminant of roots is going to be more than zero all the time. This implies that the equation will always have two roots which are different.
In other words, the discriminant of roots is going to be more than zero all the time. This implies that the equation will always have two roots which are different.
Date Posted:
3 years ago
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