(a) Given that \( \alpha>0, \beta>0 \) and \( \alpha^{2}+\beta^{2}=\frac{17}{4},(\alpha-1)(\beta-1)=-\frac{1}{2} \). Find the quadratic equation whose roots are \( \alpha \) and \( \beta \).

b) \( 2 x y-1=5 \) f) \( 3 x x-1=8 \)

20 If \( \frac{a}{b}=\frac{c}{d}=\frac{3}{5} \), then \( \frac{a+c}{b+d}=\ldots \ldots \ldots \ldots \) \( \begin{array}{llll}\text { (a) } \frac{5}{3} & \text { (b) } \frac{3}{5} & \text { (c) } \frac{6}{5} & \text { (d) } \frac{5}{6}\end{array} \)

23. Find the equation of a line. Whose intercepts on \( x \) and \( y \) axis are 4 and -6 .

vantes: \( A(x)=x^{3}+x^{2}+x-3 \) \( B(x)=(2 x+1)^{3}-(x+1)^{3} \) \( C(x)=8 x^{3}-1+4(2 x-1) \) \( D(x)=9 x^{2}-4-7(3 x-2)(x+1) \) Exercice \( 34: \) Soit \( a \) et \( b \) deux noml non nuls. Calculer \( a^{-2} b\left(a^{2} b^{-1}\right)^{4} a^{-3} b^{2} \)

\( 67.04 \mathrm{~cm}^{2}=\frac{\sqrt{269}}{2} h \) what is h ?