#1**0 **

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**

Guest Sep 2, 2017