Question

Let's find. Which one of the
of the following
number
When added
added to x²+1/4x it a perfect
Square.​

Answer 1

Answer:

Say we have a simple expression like x2 + bx. Having x twice in the same expression can make life hard. What can we do?

Well, with a little inspiration from Geometry we can convert it, like this:

Completing the Square Geometry

As you can see x2 + bx can be rearranged nearly into a square ...

... and we can complete the square with (b/2)2

In Algebra it looks like this:

x2 + bx + (b/2)2 = (x+b/2)2

"Complete the Square"

So, by adding (b/2)2 we can complete the square.

And (x+b/2)2 has x only once, which is easier to use.

Answer 2

Answer:

say we have a simple expression like

×2 +bx. having x twice in the same

expression can make life hard .what can

we do ?

well,with a little inspiration from

geometry we can convert it,like this:

completing the square geometry

As you can see x2 +bx can be

rearranged nearly into a square...

... and we can complete the square with

(b/2)

In Algebra it looks like this :

x2+bx+(b/2)2=(×+b/2)2

"complete the square"

so ,by adding (b/2)2 we can complete the

square.

And (x+b/2)2 has x only once , which is easier to use.

I think it helps you