Given the equation:
![2x^2-4x-10=0;x\in(3,4)](https://img.qammunity.org/2023/formulas/mathematics/college/46alfro4wsklzt4wf4s9k6qsejqij5isox.png)
We will use a graphing calculator to solve the equation
The graph of the equation will be as shown in the following figure:
As shown the intersection between the given equation and the x-axis is a point between 3 and 4 which = 3.4495
Rounding to the nearest tenth
So, the answer will be the solution to the equation:
![x=3.4](https://img.qammunity.org/2023/formulas/mathematics/college/o3bsotg4vd1bkave1fozh6c2wq5egeda3i.png)