Question

Resolvendo a equação 9-6Y=-Y² EM R

Answer 1

$\mathrm{9-6y=-y^2\ \to\ y^2-6y+9=0}\\ \mathrm{a=1\ \ \|\ \ b=-6\ \ \|\ \ c=9}\\\\ \textbf{Aplicando a f\'ormula quadr\'atica:}\\\\ \mathrm{y=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-(-6)\pm\sqrt{(-6)^2-4.1.9}}{2.1}=}\\\\ \mathrm{=\dfrac{6\pm\sqrt{36-36}}{2}=\dfrac{6\pm\sqrt{0}}{2}=\dfrac{6\pm0}{2}=\dfrac{6}{2}\ \to\ \boxed{\mathrm{y=3}}}$