Solve for x over the real numbers: by completing the square:
5 x^2 - 30 x = 5
Divide both sides by 5:
x^2 - 6 x = 1
Add 9 to both sides:
x^2 - 6 x + 9 = 10
Write the left hand side as a square:
(x - 3)^2 = 10
Take the square root of both sides:
x - 3 = sqrt(10) or x - 3 = -sqrt(10)
Add 3 to both sides:
x = 3 + sqrt(10) or x - 3 = -sqrt(10)
Add 3 to both sides:
Answer: | x = 3 + sqrt(10) or x = 3 - sqrt(10)
