Counting roots of a positive quadratic

Counting roots of a positive quadratic

5 marks
TGM Original
Determine the number of real solutions of |x2+2x+5|=d for d=0, d=4, and d=7. Find the solutions when they exist.

Solution:

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Answer:\(d=0:\ 0\) roots; \(d=4:\ x=-1\); \(d=7:\ x=-1\pm\sqrt3\).

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