Can someone help complete the square?
4m^2 - 12m + 13 = 0
Solve for m:
4 m^2 - 12 m + 13 = 0
Divide both sides by 4:
m^2 - 3 m + 13/4 = 0
Subtract 13/4 from both sides:
m^2 - 3 m = -13/4
Add 9/4 to both sides:
m^2 - 3 m + 9/4 = -1
Write the left hand side as a square:
(m - 3/2)^2 = -1
Take the square root of both sides:
m - 3/2 = i or m - 3/2 = -i
Add 3/2 to both sides:
m = 3/2 + i or m - 3/2 = -i
Add 3/2 to both sides:
m = 3/2 + i or m = 3/2 - i