The value of x is 8.
Given that,
Equation; [tex]\rm 6+\sqrt{2x} +4 = 14\\[/tex]
We have to determine,
The value of x.
According to the question,
To determine the value of x following all the steps given below.
Equation; [tex]\rm 6+\sqrt{2x} +4 = 14\\[/tex]
- Step1; Adding the terms 6 and 4,
[tex]\rm 6+\sqrt{2x} +4 = 14\\\\ 10 +\sqrt{2x} = 14\\[/tex]
- Step2; Taking the term 10 right-hand sides and simplifying the equation,
[tex]\rm 10+\sqrt{2x} = 14\\\\ \sqrt{2x} = 14-10\\\\ \sqrt{2x} = 4\\[/tex]
- Step3; Square both the sides and solve for the value of x,
[tex]\rm \sqrt{2x} = 4\\\\Squaring \ on \ both \ the \ sides\\\\2x = 16\\\\x = \dfrac{16}{2}\\\\x = 8[/tex]
Hence, The required value of x is 8.
For more details refer to the link given below.
https://brainly.com/question/16136037
