Answer:
x = 3 + sqrt(5) or x = 3 - sqrt(5)
Step-by-step explanation:
Solve for x over the real numbers:
2 x^2 - 12 x + 8 = 0
Divide both sides by 2:
x^2 - 6 x + 4 = 0
Subtract 4 from both sides:
x^2 - 6 x = -4
Add 9 to both sides:
x^2 - 6 x + 9 = 5
Write the left hand side as a square:
(x - 3)^2 = 5
Take the square root of both sides:
x - 3 = sqrt(5) or x - 3 = -sqrt(5)
Add 3 to both sides:
x = 3 + sqrt(5) or x - 3 = -sqrt(5)
Add 3 to both sides:
Answer: x = 3 + sqrt(5) or x = 3 - sqrt(5)
