Given the equation:
[tex]2x^2-4x-10=0;x\in(3,4)[/tex]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:
[tex]x=3.4[/tex]