Steps for completing the square methods
No silly answers and it's question for 10th class only
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hey there please give que related to the completing the square methods. ..i would tell u
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Completing the Square
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.
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.
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