Answer:
x = 19 or x = 13
Explanation:
Solve for x over the real numbers:
2 x^2 - 64 x + 494 = 0
Divide both sides by 2:
x^2 - 32 x + 247 = 0
Subtract 247 from both sides:
x^2 - 32 x = -247
Add 256 to both sides:
x^2 - 32 x + 256 = 9
Write the left hand side as a square:
(x - 16)^2 = 9
Take the square root of both sides:
x - 16 = 3 or x - 16 = -3
Add 16 to both sides:
x = 19 or x - 16 = -3
Add 16 to both sides:
Answer: x = 19 or x = 13