Question

Find the value of X by Solve the determinant in above picture.

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Answer 1

Hey there!

Solution:


$\begin{vmatrix}2x&5\\ 8&x \end{vmatrix} \: = \begin{vmatrix}6& - 2\\ 7&3\end{vmatrix}$


Solving the determinant:


2x(x) - (8)(5) = (6)(3) - (-14)


2$x^{2}$ - 40 = 18 + 14


2$x^{2}$ = 18 + 40 + 14


2$x^{2}$ = 72


$x^{2}$ = 36


x = ±6



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Answer 2

X= 3 tell me your  answer