Answer:
x = 8 + sqrt(3)/2 or x = 8 - sqrt(3)/2
Step-by-step explanation by completing the square:
Solve for x:
3 - 4 (x - 8)^2 = 0
Subtract 3 from both sides:
-4 (x - 8)^2 = -3
Divide both sides by -4:
(x - 8)^2 = 3/4
Take the square root of both sides:
x - 8 = sqrt(3)/2 or x - 8 = -sqrt(3)/2
Add 8 to both sides:
x = 8 + sqrt(3)/2 or x - 8 = -sqrt(3)/2
Add 8 to both sides:
Answer: x = 8 + sqrt(3)/2 or x = 8 - sqrt(3)/2
