Complete the square
*please include the steps*

4x^2+8x+36=0

Step-by-step explanation:

4x^2+8x+36=0

Factor out the GCF: 4

1/4(4x^2+8x+36=0)

x^2+2x+9=0

Solve using the Quadratic formula.

a= 1

b= 2

c= 9

There are no real solutions because you cannot square root a negative number.

Divide both sides of the equation by 4

Move the constant to the right-hand side and change its sign

To complete the square, the same value needs to be added to both sides

To complete the square x²+2x+1=(x+1)² add 1 to the expression

Since 1 was added to the left-hand side, also add 1 to the right-hand side

Use a²+b²+2ab=(a+b)² to factor the expression

Calculate the sum

Solve the equation for x

it has changed from the width and the height.

step-by-step explanation:

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.