Question

M2-5m=-3 complete square method

Answer 1

Answer:

m2 - 5m = -3

m2 - 5m + 3

(m-3) (m+1)

m=3

Answer 2

Answer:

m=(5+√-13)/2

or

(5-√-13)/2

Explanation:

m^2-5m= -3

Adding term =[1/2(coefficient of m)]^2

=(-5/2)^2

Add the adding term on both the sides

m^2-5m+(-5/2)^2 = -3+(-5/2)^2

[m-5/2]^2= -13/4

m-5/2= + or -√-13/2

m=5/2 + or -√-13/2

m=(5+√-13)/2

or

(5-√-13)/2