Solve for x:
-2 x^2 + 10 x + 25 = 0
Divide both sides by -2:
x^2 - 5 x - 25/2 = 0
Add 25/2 to both sides:
x^2 - 5 x = 25/2
Add 25/4 to both sides:
x^2 - 5 x + 25/4 = 75/4
Write the left hand side as a square:
(x - 5/2)^2 = 75/4
Take the square root of both sides:
x - 5/2 = (5 sqrt(3))/2 or x - 5/2 = -(5 sqrt(3))/2
Add 5/2 to both sides:
x = 5/2 + (5 sqrt(3))/2 or x - 5/2 = -(5 sqrt(3))/2
Add 5/2 to both sides:
Answer: | x = 5/2 + (5 sqrt(3))/2 or x = 5/2 - (5 sqrt(3))/2
