V 36m2 + 84m + 19. еслит > -

It seems like you're looking to solve the inequality \( V \) in the form of a quadratic expression. The expression you provided appears to be \( 36m^2 + 84m + 19 > 0 \).

To solve this, we can analyze the quadratic inequality. Here's how to approach it:

1. Find the roots of the corresponding equation \( 36m^2 + 84m + 19 = 0 \) using the quadratic formula: \[ m = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \] where \( a = 36 \), \( b = 84 \), and \( c = 19 \).

2. Calculate the discriminant: \[ D = b^2 - 4ac = 84^2 - 4 \cdot 36 \cdot 19 \] \[ D = 7056 - 2736 = 4320 \]

3. Find the roots: \[ m = \frac{-84 \pm \sqrt{4320}}{72} \] The square root of 4320 can be simplified: \[ \sqrt{4320} \approx 65.7 \quad (\text{approximately}) \] Thus, the roots are: \[ m_1 \approx \frac{-84 + 65.7}{72} \quad \text{and} \quad m_2 \approx \frac{-84 - 65.7}{72} \]

4. Once you calculate the roots \( m_1 \) and \( m_2 \), test the intervals determined by these roots to find where the expression \( 36m^2 + 84m + 19 > 0 \).

5. Analyze the sign of the quadratic:

   • The parabola opens upwards (as the coefficient of \( m^2 \) is positive).
   • Thus, the intervals where the quadratic is positive will be outside the roots.

This will give you the solution to the inequality.

If you complete these calculations, you will determine the exact ranges for \( m \) where the inequality holds true. If you need further assistance with those calculations or anything else, let me know!