Question

(3y+2)(y-1)=y.(y+2) equação 2 grau

Answer 1

$(3y+2).(y-1)=y.(y+2) \\ 3y ^{2} -3y+2y-2= y^{2} +2y \\ 3 y^{2} - y^{2} -y-2y-2=0 \\ 2 y^{2} -3y-2=0$

$\\ y= \frac{-(-3) +- \sqrt{(-3) ^{2}-4.2.-2 } }{2.2} = \\ \\ y= \frac{+3+- \sqrt{9+16} }{4} \\ \\ y= \frac{3+- \sqrt{25} }{4} \\ \\ y= \frac{3+-5}{4} \\ \\ y^{'} = \frac{3+5}{4} = \frac{8}{4} = 2 \\ \\ y^{''} = \frac{3-5}{4} = \frac{-2}{4} = \frac{-1}{2}$