Answer:
x = 75
Step-by-step explanation:
Given:
[tex]\sqrt{x+6} =9[/tex]
Solve for x, where x is a real number.
[tex]\sqrt{x+6} =9\\[/tex]
Remove the square root by squaring both sides.
It becomes:
[tex]x+6=9^2 \\x+6=81[/tex]
Subtract 6 from both sides to isolate the x (variable).
[tex]x+6-6=81-6\\x=75[/tex]
Thus, the value of x would be 75.