Question

Graph the quadratic equation ^^2m² + m +3 = 0

Answer 1

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:

`\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}*2*3}}{2*2} \\ \\ m\text{ = }(-1\pm√(-23))/(4) \end{gathered}`

So, Both the roots are imaginary.

having d = -23

Final Answer:

Graph :