Question

3 x elevado a 2 - 2x - 3 y = 0 para que valores de y a equação tem raízes iguais​

Answer 1

$3x^2-2x-3y~=~0\\\\\\Para~que~tenhamos~raizes~reais~iguais,~\Delta~deve~ser~\\igual~a~0~(zero),~logo:\\\\\\\Delta:~(-2)^2-4.3.(-3y)~=~0\\\\\\4+36y~=~0\\\\\\36y~=~-4\\\\\\y~=~\frac{-4}{36}\\\\\\\boxed{y~=\,-\frac{1}{9}}$