Solve the following determinant equations:(i) x+abcax+bcabx+c=0(ii) x+axxxx+axxxx+a=0, a≠0(iii) 3x-83333x-83333x-8=0(iv) 1xx21aa21bb2=0, a≠b(v) x+1352x+2523x+4=0(vi) 1xx31bb31cc3=0, b≠c(vii) 15-2x11-3x7-x111714101613=0(viii) 11xp+1p+1p+x3x+1x+2=0(ix) 3-2sin3θ-78cos2θ-11142=0

Solve the following determinant equations:(i) x+abcax+bcabx+c=0(ii)

1.	Solve the following determinant equations:(i) x+abcax+bcabx+c=0(ii) x+axxxx+axxxx+a=0, a≠0(iii) 3x-83333x-83333x-8=0(iv) 1xx21aa21bb2=0, a≠b(v) x+1352x+2523x+4=0(vi) 1xx31bb31cc3=0, b≠c(vii) 15-2x11-3x7-x111714101613=0(viii) 11xp+1p+1p+x3x+1x+2=0(ix) 3-2sin3θ-78cos2θ-11142=0
Answer» Solve the following determinant equations: (i) $\|\begin{matrix} x + a & b & c \\ a & x + b & c \\ a & b & x + c \end{matrix}\| = 0$ (ii) $\|\begin{matrix} x + a & x & x \\ x & x + a & x \\ x & x & x + a \end{matrix}\| = 0, a \neq 0$ (iii) $\|\begin{matrix} 3 x - 8 & 3 & 3 \\ 3 & 3 x - 8 & 3 \\ 3 & 3 & 3 x - 8 \end{matrix}\| = 0$ (iv) $\|\begin{matrix} 1 & x & x^{2} \\ 1 & a & a^{2} \\ 1 & b & b^{2} \end{matrix}\| = 0, a \neq b$ (v) $\|\begin{matrix} x + 1 & 3 & 5 \\ 2 & x + 2 & 5 \\ 2 & 3 & x + 4 \end{matrix}\| = 0$ (vi) $\|\begin{matrix} 1 & x & x^{3} \\ 1 & b & b^{3} \\ 1 & c & c^{3} \end{matrix}\| = 0, b \neq c$ (vii) $\|\begin{matrix} 15 - 2 x & 11 - 3 x & 7 - x \\ 11 & 17 & 14 \\ 10 & 16 & 13 \end{matrix}\| = 0$ (viii) $\|\begin{matrix} 1 & 1 & x \\ p + 1 & p + 1 & p + x \\ 3 & x + 1 & x + 2 \end{matrix}\| = 0$ (ix) $\|\begin{matrix} 3 & - 2 & \sin (3 θ) \\ - 7 & 8 & \cos (2 θ) \\ - 11 & 14 & 2 \end{matrix}\| = 0$