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If  x in N and |[x+3,-2],[-3x,2x]|=8 , then find the value of x. - Mathematics

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If ` x in N and |[x+3,-2],[-3x,2x]|=8` , then find the value of x.

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Solution

`|[x+3,-2],[-3x,2x]|=8`

(x+3)2x(2)(3x)=8

2x2+6x6x=8

2x2=8

x24=0

x2=4

x=2 [x ≠ -2 ∵ x ∈ N]

Concept: Determinants of Matrix of Order One and Two
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