\( 0<a<b<c<d \) ve \( \frac{1}{a}+\frac{1}{b}+\frac{1}{c}+\frac{1}{d}=\frac{1}{4} \) olduğuna göre, a nın alabileceği kaç farklı tam sayı değeri vardır? \( \begin{array}{lllll}\text { A) } 5 & \text { B) } 6 & \text { C) } 8 & \text { D) } 9 & \text { E) } 11\end{array} \)

12. \( a^{2 n+1}+a^{2} b^{n+1}-b^{2 n-1}-a^{n+2} b \) ifadesinin vuruqlanndan biri aşagıdaklardan hansidn \( \begin{array}{llll}\text { A) } a^{2 n-1}+b^{n+1} & \text { B) } a^{n} & \text { C) } a^{2}+b & \text { D) } a^{2 n-1}-b\end{array} \)

Move Variables to one side

\begin{tabular}{c}\hline SOLVING EQUATIONS \\ \hline \( \begin{array}{c}\text { Simplify Each Side } \\ \text { by combining like terms }\end{array} \) \\ \hline \( \begin{array}{c}\text { Move Variables } \\ \text { to one side }\end{array} \) \\ \hline Solve \\ \hline Using inverse operations \\ \hline\end{tabular}

3. Soit \( g(x)=x^{4}-5 x^{2}+4 \). a) Factoriser \( t^{2}-5 t+4 \) b) En-déduire que \( g(x)=\left(x^{2}-1\right)\left(x^{2}-4\right) \). 4. Soit \( h(x)=\frac{f(x)}{g(x)} \) a) Déterminer l'ensemble de définition \( D \) de \( h \). b) Montrer que pour tout \( x \) de \( D h(x)=\frac{x-3}{x^{2}+3 x+2} \) c) Résoudre dans \( \mathbb{R} \) l'inéquations \( h(x) \geq 1 \).

\[ \mathrm{x}+\mathrm{y}=6 \text {, } \] It is known that the solutions are integers. \( \mathrm{x}^{y}=\mathrm{y}^{\mathrm{x}} \) \( \quad \) a. \( \{(1,5),(5,1)\} \) b. \( \{(5,5),(-10,16),(16,-10)\} \) c. \( \{(3,3),(4,2),(2,4)\} \) d. \( \{ \) all integers divisible by 3 and 2\( \} \) e. None of the above