Question

what is the sequence method of completing square method in quadratic equation solving
pls explain with example


pls dont spam....​

Answer 1

Answer:

X square+y+c=0......

Answer 2

Step-by-step explanation:

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.

Keeping the Balance

Now ... we can't just add (b/2)2 without also subtracting it too! Otherwise the whole value changes.

So let's see how to do it properly with an example:

Start with: x^2 + 6x + 7

("b" is 6 in this case)

Complete the Square:

x^2 + 6x + (6/2)^2 + 7 - (6/2)^2

Also subtract the new term

Simplify it and we are done.

simplifies to (x+3)^2

The result:

x2 + 6x + 7 = (x+3)2 − 2

And now x only appears once, and our job is done!