203k views
5 votes
Complete the square for x? - 14x + . Then write the resulting expression as a binomialsquared.49; (x + ²49; (x-720 -49; (x - 720-49; (x + 7)

Complete the square for x? - 14x + . Then write the resulting expression as a binomialsquared-example-1
User Iminiki
by
3.7k points

1 Answer

4 votes

We will solve as follows:

*First: We know that all quadratic expansions such as this follow the rule:


a^2+2ab+b^2

*Second: From this, we will complete the quadratic expansion:


x^2-14x+49

*Third: We will then factor it:


(x-7)^2

So, the solution would be option 2: 49; (x -7)^2.

User Carsten Massmann
by
4.1k points