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If \(\begin{vmatrix}  m-2 & m+1 \\ m+4 & m-2 \e...

If |m2m+1m+4m2|=27, find the value of m.

A.

389

B.

3

C.

212

D.

2

Correct answer is B

|m2m+1m+4m2|=27

(m24m+4)(m2+5m+4)=27

9m=27m=3