Question 37166
From 8(x-7)^2 = 200, we divide both sides by 8 and get

(x-7)^2 = 25   Now take the square root of both sides

x - 7 = ±5  so that

x = 7 ± 5 = 12 or 2

From 4/3(x^2 + 12) - 25 = 11, we add 25 to both sides, then multiply by 3/4 and get

4/3(x^2 + 12) = 36
x^2 + 12 = 27

From here, subtract 12 and take the root and get

x = ± radical 15