Question

Qual a resposta da equação do 2 grau completa? -5x²+75x-280=0

Answer 1

>>>>>Ola<<<<<<

Têm-se a equação:

${\color{blue}{-5x^2+75x-280=0}}$

$Coeficientes:\left\{\begin{array}{cc}a=-5\\b=75\\c=-280\\\end{array}\right$

Lembrando que:

$\Delta=b^2-4*a*c$

$\Delta=75^2-4*(-5)*(-280)$

$\Delta=5625-5600$

$\Delta=25$

Bhaskara:

$\large\boxed{\boxed{{x_{1,2}=\frac{-b\pm\sqrt{\Delta}}{2*a}}}}}}$

$x_{1,2}=\frac{-75\pm\sqrt{25}}{2*(-5)}$

$x_{1,2}=\frac{-75\pm\:5}{-10}$

$x_{1}=\frac{-75+5}{-10}$

${\color{blue}{x_{1}=\frac{-70}{-10}=7}}$

${\color{blue}{x_{2}=\frac{-75-5}{-10}=\frac{-80}{-10}=8}}$

Sol: { 7 ; 8 }

$\underline{D\'uvidas??Comente}$