k = 5, r = -1
k = 5, r = 2
k = 2, r = -5
k = -1, r = 5
Correct answer is B
x2+4x+k=(x+r)2+1
x2+4x+k=x2+2rx+r2+1
Comparing the LHS and RHS equations, we have
2r=4⟹r=2
k=r2+1=22+1=5
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