Question

Plz help me thanks

Complete the square to make a perfect square trinomial. Then, write a result as a binomial squared. m^2-13m

m^2-13+ ? =( ? )^2

Answer 1

Answer: m^2 - 13m + 42.25 = (m - 6.5)^2

notes:

6.5 = 13/2

42.25 = 169/4

======================================================

Step-by-step explanation:

The coefficient in front of the m is -13. Cut this in half to get -13/2 = -6.5

Then square this result to get (-6.5)^2 = 42.25

We need to add 42.25 to the expression in order to complete the square

This allows us to factor to get m^2 - 13m + 42.25 = (m - 6.5)^2

Note how the equation is in the form

a^2 - 2ab + b^2 = (a-b)^2

where a = m and b = 6.5

Answer 2

Look at the picture

Hope it helped!