Question

Complete the square for the equation below. x2 - 6x = 0 x2 - 6x + 9 = 0 + 9

Answer 1

Answer:

1:  x = 6

x = 0

2: x = 6

x = 0

Step-by-step explanation:

1: Pulling out like terms :

2.1     Pull out like factors :

  x2 - 6x  =   x • (x - 6)  

Equation at the end of step  2  :

 x • (x - 6)  = 0  

Step  3  :

Theory - Roots of a product :

3.1    A product of several terms equals zero.  

When a product of two or more terms equals zero, then at least one of the terms must be zero.  

We shall now solve each term = 0 separately  

In other words, we are going to solve as many equations as there are terms in the product  

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

3.2      Solve  :    x = 0  

 Solution is  x = 0

Solving a Single Variable Equation :

3.3      Solve  :    x-6 = 0  

Add  6  to both sides of the equation :  

                     x = 6

2: Same thing

Hope this helps

Answer 2

Step-by-step explanation:

The first space right next to the x at the top would be -3.

The space below that last answer and above the -9 would be -3x. The space below x^2 would also be -3x.