Question on: JAMB Mathematics - 2019

If \(\begin{vmatrix} 2 & -4 \ x & 9 \end{vmatrix} = 58\), find the value of x.

A
10
B
30
C
14
D
28
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Correct Option: A

\(\begin{vmatrix} 2 & -4 \ x & 9 \end{vmatrix} = 58\)

\(\implies (2 \times 9) - (-4 \times x) = 58\)

\(18 + 4x = 58 \implies 4x = 58 - 18 = 40\)

\(x = 10\)

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