What is the intermediate step in the form (x+a)2 = b as a result of completing the square for the following x2-4x+10=4x+10

For this case we have the following expression:

We follow the steps below:

We subtract 4x on both sides of the equation:

We subtract 10 from both sides of the equation:

Now, we must complete squares.

When we have an equation of the form:

, if we want to complete squares we must subtract c on both sides of the equation obtaining:

The square is completed by adding to both sides of the equation:

So, we have left:

In the given expression we have:

And to complete the square we have:

Rewriting we have:

We factor the left side of the equation, that is, we look for two numbers that when added together result in -8 and when multiplied as a result 16. We have:

So, we have:

The intermediate step is to complete squares

The intermediate step in the form (x+a)2 = b as a result of completing the square for the following is (x-4)^2 = 16

Given the equation x^2-4x+10=4x+10

This can also be written as:

x^2-4x+10 - 4x - 10 = 0

x^2 - 8x = 0

To complete the square of the expression, we will add the square of the half of coefficient of x in the equation to both sides

Coefficent of x = -8

Half of the coefficient = -4

Square of the result = (-4)^2 = 16

Add 16 to both sides to have:

x^2 - 8x + 16 = 0+ 16

x^2 - 8x + 16 = 16

(x-4)^2 = 16

Hence the intermediate step in the form (x+a)2 = b as a result of completing the square for the following is (x-4)^2 = 16

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the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .