Complete the square for 5x^2-30x=5

Answer: (x-3) ^2=10

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)