Question

Ajutatima urgent va rooog...
Ex 6 si 7

Answer 1

$9^{x}- 3^{x+1}+2=0$⇒$3^{2x}- 3^{x}*3+2=0$
Notezi $3^{x}=t$ ⇒ $t^{2} -3t+2=0$
Δ=9-8=1
$x_{1}= \frac{3+1}{2}=2$
$x_{2}= \frac{3-1}{2}=1$
S={1,2}

f(a)=$\left[\begin{array}{ccc}-2&2\\-1&3\\\end{array}\right] * \left[\begin{array}{ccc}-2&2\\-1&3\\\end{array}\right] - 3* \left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right]$ ⇒ $\left[\begin{array}{ccc}2&2\\-1&-7\end{array}\right]- \left[\begin{array}{ccc}3&0\\0&3\\\end{array}\right]= \left[\begin{array}{ccc}-1&2\\-1&-10\\\end{array}\right]$