Solve simultaneously for $$ x $$ and $$ y $$ $$ \begin{array}{l}3 x-y=2 \quad ext { and } \quad 2 y+9 x^{2}=-1 \ ext { Discuss the nature of the roots of } 2 x^{2}-4 x+2=0\end{array} $$

Question

Solve simultaneously for $$ x $$ and $$ y $$ $$ \begin{array}{l}3 x-y=2 \quad 	ext { and } \quad 2 y+9 x^{2}=-1 \ 	ext { Discuss the nature of the roots of } 2 x^{2}-4 x+2=0\end{array} $$

UpStudy AI · Accepted Answer

The solution to the system of equations is $$ (x,y) = (-1,-5) $$ or $$ (x,y) = \left(\frac{1}{3},-1\right) $$. The quadratic equation $$ 2x^2 - 4x + 2 = 0 $$ has a repeated root at $$ x = 1 $$.

Solve simultaneously for \( x \) and \( y \) \( \begin{array}{l}3 x-y=2 \quad \text { and } \quad 2 y+9 x^{2}=-1 \\ \text { Discuss the nature of the roots of } 2 x^{2}-4 x+2=0\end{array} \)

UpStudy ThothAI Solution

Quick Answer

Step-by-step Solution

Solve simultaneously for \( x \) and \( y \) \( \begin{array}{l}3 x-y=2 \quad \text { and } \quad 2 y+9 x^{2}=-1 \\ \text { Discuss the nature of the roots of } 2 x^{2}-4 x+2=0\end{array} \)

UpStudy ThothAI Solution

Quick Answer

Step-by-step Solution

Related Questions