Answer:
0 and 1/2
Step-by-step explanation:
-2x^2 + x = 0
Solving using completing the square method
dividing through by -2, we have
x^2 - x/2 = 0
evaluate (b/2)^2
= (-1/(2x2))^2 = 1/16
adding it on both sides of the equation
x^2 - x/2 + 1/16 = 0 + 1/16
the new equation is therefore:
(x - 1/4)^2 = 1/16
taking the square root on both sides
x - 1/4 = ±√1/16
x - 1/4 = ± 1/4
therefore
x = 1/4 + 1/4 = 1/2
or
x = -1/4 + 1/4 = 0
