What is the solution of mc011-1.jpg? Picture inside***

The value of x is 12/5.
Given
Equation; [tex]\rm \sqrt{x^2+49} =x+5[/tex]
To find the solution of the equation first square both sides then simplify the equation then simplify the value of x.
Then,
The value of x is;
[tex]\rm \sqrt{x^2+49} =x+5[/tex]
Squaring on both sides
[tex]\rm x^2+49=(x+5)^2\\\\x^2+49=x^2+10x+25\\\\x^2+49-x^2-10x-25=0\\\\25-10x=0\\\\10x=24\\\\x=\dfrac{24}{10}\\\\x= \dfrac{12}{5}\\\\[/tex]
Hence, the value of x is 12/5.
To know more about Equation click the link given below.
https://brainly.com/question/4192440