Given -
2m² + m +3 = 0
To Find -
2m² + m +3 = 0
Step-by-Step Explanation -
2m² + m +3 = 0
We will first calculate the roots of the equation:
[tex]\begin{gathered} m\text{ = }\frac{-b\text{ }\pm\sqrt{b^2\text{ - 4ac}}}{2a} \\ \\ Here,\text{ } \\ \\ a\text{ = 2, b = 1, c = 3} \\ \\ On\text{ Putting the values in the equation,} \\ \\ m\text{ = }\frac{-1\pm\sqrt{1^2\text{ - 4}\times2\times3}}{2\times2} \\ \\ m\text{ = }\frac{-1\pm\sqrt{-23}}{4} \end{gathered}[/tex]
So, Both the roots are imaginary.
having d = -23
Final Answer:
Graph :
