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# If |[2x,5],[8,x]|=|[6,-2],[7,3]| write the value of x. - CBSE (Science) Class 12 - Mathematics

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ConceptApplications of Determinants and Matrices

#### Question

If |[2x,5],[8,x]|=|[6,-2],[7,3]|, write the value of x.

#### Solution

We have:

|[2x,5],[8,x]|=|[6,-2],[7,3]|

⇒2x^2−40=18+14

⇒2x^2=32+40

⇒2x^2=72

⇒x^2=36

∴ x=±6

Thus, the value of x is ±6.

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#### Video TutorialsVIEW ALL [5]

Solution If |[2x,5],[8,x]|=|[6,-2],[7,3]| write the value of x. Concept: Applications of Determinants and Matrices.
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