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