From: Andrew Lorimer Date: Thu, 21 Feb 2019 11:27:09 +0000 (+1100) Subject: reference book for methods X-Git-Tag: yr12~243 X-Git-Url: https://git.lorimer.id.au/notes.git/diff_plain/20d75c79632b8cd30e21dff2341c8b501b4d9369 reference book for methods --- diff --git a/methods/polynomials-ref.pdf b/methods/polynomials-ref.pdf new file mode 100644 index 0000000..3aaef4e Binary files /dev/null and b/methods/polynomials-ref.pdf differ diff --git a/methods/polynomials.md b/methods/polynomials.md index 847a91c..a2fe7b3 100644 --- a/methods/polynomials.md +++ b/methods/polynomials.md @@ -1,3 +1,7 @@ +--- +geometry: margin=1.5cm +--- + # Polynomials ## Factorising @@ -59,7 +63,7 @@ Equations with multiple pronumerals. Solutions are expressed in terms of pronume - **Infinitely many solutions** - lines are equal - **No solution** - lines are parallel -### Solving $\begin{cases}px + qy = a \\ rx + sy = b\end{cases}$ for one, infinite and no solutions +### Solving $\protect\begin{cases}px + qy = a \\ rx + sy = b\protect\end{cases}$ for one, infinite and no solutions where all coefficients are known except for one, and $a, b$ are known @@ -79,9 +83,9 @@ where all coefficients are known except for one, and $a, b$ are known Or use Matrix -> `det` on CAS. -### Solving $\begin{cases}a_1 x + b_1 y + c_1 z = d_1 \\ +### Solving $\protect\begin{cases}a_1 x + b_1 y + c_1 z = d_1 \\ a_2 x + b_2 y + c_2 z = d_2 \\ -a_3 x + b_3 y + c_3 z = d_3\end{cases}$ +a_3 x + b_3 y + c_3 z = d_3\protect\end{cases}$ - Use elimination - Generate two new equations with only two variables diff --git a/methods/transformations-ref.pdf b/methods/transformations-ref.pdf new file mode 100644 index 0000000..bbcf953 Binary files /dev/null and b/methods/transformations-ref.pdf differ