Question

3. a) Solve for x: (x - 2)2 = 16

Answer 1

X=10
Multiply everything in the parentheses by 2. Then add 4 to the other side. Then divide by 2.

Answer 2

Answer:

x = 10

Step-by-step explanation:

Step  1  :

Equation at the end of step  1  :

 2 • (x - 2) -  16  = 0

Step  2  :

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  2x - 20  =   2 • (x - 10)

Equation at the end of step  3  :

 2 • (x - 10)  = 0

Step  4  :

Equations which are never true :

4.1      Solve :    2   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

4.2      Solve  :    x-10 = 0

Add  10  to both sides of the equation :

                     x = 10

One solution was found :

                  x = 10

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