-12×(-5)×(-10)=?
show the whole process
Answers
Answer:
"Completing the Square" is where we ...
... take a Quadratic Equation
like this: right arrow and turn it
into this:
ax2 + bx + c = 0 a(x+d)2 + e = 0
For those of you in a hurry, I can tell you that: d = b2a
and: e = c − b24a
But if you have time, let me show you how to "Complete the Square" yourself.
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.
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.
Step-by-step explanation:
Answer:
-12×(-5)×(-10)
60×(-10)
-600
answer is -600