Question

How to complete a square

Answer 1

Answer:

Step-by-step explanation:

It is really easy once you understand the concept.

Let's start with an easy example.

x^2+6x=-2

Add 9 on both sides to get a perfect square

x^2+6x+9=7

Then factor on the left

(x+3)^2=7

Then get the square root

x+3=+7                     x+3=-7

x=4                           x=-10

Another example.

x^2+12x+32=0

Subtract 32 from both sides

x^2+12x=-32

Add 36 on both sides to get a perfect square

x^2+12x+36=4

Factor

(x+6)^2=4

Get the square root

x+6=2                           x+6=-2

x=-4                              x=-8

(Go to khan academy, they are good at explaining things)

Answer 2

Answer: Step 1. Divide all terms by a (the coefficient of x2).

Step 2. Move the number term (c/a) to the right side of the equation.

Step 3. Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.

Step-by-step explanation: