Question

rezolvati ecuatia:
4x^2-12x+9=0

Answer 1

$4 {x}^{2} - 12x + 9 = 0$

$a = 4$

$b = - 12$

$c = 9$

$\Delta = {b}^{2} - 4ac$

$\Delta = {( - 12)}^{2} - 4 \times 4 \times 9$

$\Delta = 144 - 144$

$\Delta = 0 = > \: \exists \: \:x_{1} = x_{2} \: \in \: \mathbb{R}$

$x_{1}=\frac{-b\pm\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-( - 12)+\sqrt{0}}{2 \times 4}$

$x_{1}=\frac{12 + 0}{8}$

$x_{1}=\frac{12}{8}$

$x_{1}=\frac{3}{2}$

$=>x_{1}=x_{2}=\frac{3}{2}$