Find a value of x if

Engineering

Mathematics

Introduction to Determinants

Properties of Determinant

Quadratic Equation and Nature of Roots

Question

Find a value of x if $∣ \begin{array}{cc} x & 2 \\ 18 & x \end{array} ∣ = ∣ \begin{array}{cc} 6 & 2 \\ 18 & 6 \end{array} ∣$

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$∣ \begin{array}{cc} x & 2 \\ 18 & x \end{array} ∣ = ∣ \begin{array}{cc} 6 & 2 \\ 18 & 6 \end{array} ∣$

x² – 18 × 2 = 6 × 6 – 2 × 18

x² – 36 = 36 – 36

x = ± 6