Answer:
[tex]x = 20[/tex]
Step-by-step explanation:
We want to solve the radical equation:
[tex] \sqrt{3x - 11} = 7[/tex]
We squat both sides to get;
[tex]3x - 11 = {7}^{2} [/tex]
We evaluate the exponent to get:
[tex]3x - 11 = 49[/tex]
Add 11 to both sides:
[tex]3x = 49 + 11[/tex]
[tex]3x = 60[/tex]
Divide both sides by 3 to get:
[tex] \frac{3x}{3} = \frac{60}{3} [/tex]
This implies that:
[tex]x = 20[/tex]
