SL 1.8—Use of technology to solve systems of linear equations and polynomial equations Questionbank

$2^{x}=x+3$

$x^{2}-\frac{5}{x}=0$

$x=\sqrt{5}-\sqrt{x}$

$2 x^{2}+4 x=7$

$x^{3}+4 x^{2}=6-x$

$2 x(x-1)=x+5$

$x+\sqrt[3]{x}+4=0$

$2 x^{2}-\sqrt{x+1}=0$

$x^{4}+2^{-x}-30=0$

$\left\{\begin{array}{c}3.2 x-5.4 y=-26.4 \\ 1.1 x+2.7 y=23.3\end{array}\right.$

$\left\{\begin{aligned} 13 a+12 b & =104.5 \\ 14 a-5 b & =28.3\end{aligned}\right.$

$\left\{\begin{array}{c}3 x-7 y+z=-39 \\ 7 x+2 y-z=44 \\ -x+7 y-5 z=55\end{array}\right.$

$\left\{\begin{array}{c}5 a+7 b=19 \\ 8 b-3 c=7 \\ 9 a+4 c=21\end{array}\right.$

Write down 3 linear equations in $A, B$ and $C$.

Find the numbers $A, B$ and $C$.

$\left\{\begin{array}{c}2 x-5 y-7 z=-21 \\ x-4 y+3 z=44 \\ x-y+z=12\end{array}\right.$

$\left\{\begin{array}{c}-x-y+z=-11 \\ 5 x-2 y+11 z=-28 \\ x+3 y-4 z=30\end{array}\right.$

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2

$\left\{\begin{array}{c}5 x+3 y-2 z=-12 \\ 3 x-4 y-z=17 \\ 10 x-10 y+z=65\end{array}\right.$

$\left\{\begin{array}{c}4 x-5 y+z=50 \\ 3 x+y+3 z=-16 \\ 6 x-2 z=61+y\end{array}\right.$

$x^{4}-x^{3}+2=0$

$x^{4}-2 x^{2}+1=0$ [3]

$x^{4}-x^{3}+3 x^{2}-x+6=0$