Question

X²_7x+10=0 alguém pode me ajudar​

Answer 1

$\sf {x}^{2} - 7x + 10 = 0$

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

$\sf \Delta = {( - 7)}^{2} - 4\cdot 1\cdot 10$

$\sf \Delta = 49 - 40$

$\sf \Delta = 9$

$\sf x_{½} = \dfrac{ - b \pm \sqrt{\Delta} }{2a}$

$\sf x_{½} = \dfrac{ - ( - 7) \pm \sqrt{9} }{2\cdot 1}$

$\sf x_{½} = \dfrac{ 7 \pm 3}{2}$

$\sf x_{1} = \dfrac{ 7 - 3}{2} = \dfrac{4}{2} \red{= 2}$

$\sf x_{1} = \dfrac{ 7 + 3}{2} = \dfrac{10}{2} \red{= 5}$

$\boxed{\boxed{\sf C_{s} = \left\{(2,5) \right\}}}$