Given the system of equations: \( \left\{\begin{array}{l}x+y+z=1 \\ y-3 z=-6 \\ 2 x+y+5 z=9\end{array}\right. \) (a) Determine the type of system: inconsistent dependent (b) If your answer is dependent, find the complete solution. Write \( x, y \), and \( z \) as functions of \( t \), where \( z=t \). If your answer is inconsistent, write DNE in the box for all three variables. \( x=\square \) \( y=\square \)

\( \left. \begin{array} { l } { c ^ { 2 } - a b = 22 } \\ { b ^ { 2 } - a c = - 103 } \\ { a ^ { 2 } - b c = ? } \end{array} \right. \)

(59.) \( a b-b^{2}, a^{2} b+b \) এর গসাগু কত?

Which is equal to \( \frac{10}{2+i} ? \) A. \( 5-10 i \) B. \( 4-2 i \) C. \( 5+\frac{10}{i} \) D. \( 4+2 i \) E. \( 5+10 i \)

will be cqual, if either \( b=0 \), or \( a^{3}+b^{2}+c^{3}-3 a b c-0 \). If \( a, b, c \) arc rational and \( a+b+c=0 \), show that the roots of \( (b+c-a) x^{2}+(c+a-b) x+ \) \( (a+b-c)=0 \) are rational.

\( 4 x^{2}+k x+5=0 \) has roots whose difference is \( \frac{1}{4} \)