Three bananas and two pears cost \( £ 2.07 \) Five bananas and three pears cost \( £ 3.33 \) Find the cost of ten bananas and ten pears.

\( a^{2}=4 a+4 \) \( b^{2}=4 b+4 \) olduğuna göre, \( \frac{a-4}{a^{2}}+\frac{4}{b^{2}} \) kaçtır?

2 - Qual é o valor de \( x \) \( \begin{array}{ll}\text { a) } 2^{x}=32 & \text { b) } 5^{a}=25\end{array} \)

10. a. Show that the roots of the equation \( 2\left(a^{2}+b^{2}\right) x^{2}+2(a+b) x+1=0 \) can never be real unless \( a=b \). b. Prove that the roots of the equation \( x^{2}+(2 k-1) x+k^{2}=0 \) are real roots if \( k \leq \frac{1}{4} \).

2 - Qual é o valor de \( x \) \( \begin{array}{ll}\text { a) } 2^{x}=32 & \text { b) } 5^{a}=25\end{array} \)

27. Dada la matriz \( A=\left[\begin{array}{cc}a & b \\ -b & a\end{array}\right] \) [video guia: https://voutu.be/m580)hu2MnIPsi=t|Gfe9fJKvVSr7KH] a. Determine valores propios y los vectores propios complejos asociados b. Encuentre los valores caracteristicos de la matriz \( B=A^{T} A \) c. Si los valores caracteristicos de \( \left[\begin{array}{ll}a & b \\ 0 & d\end{array}\right] \) son 0 y 1 , halle los posibles valores de \( a \) y \( d \)