Quote (MarcMorrison @ Oct 5 2013 05:36pm)
But not easy for me, i can't find out what's the value in ''X'' when the function is :
0=12X(X)-160x+400
edit: 0=12x^2-160x+400
If you're having trouble with the quadratic formula, you can always do it the long way.
Those numbers are inconveniently big, so divide by 2. Note that you're dividing BOTH sides by two, but 0/2 == 0, so that side doesn't change. This should always be your first step if you notice that the 'a', 'b', and 'c' from the quadratic formula all have a common divisor.
6x^2 - 80x + 200 = 0
so either your options are
(6x _____) (x_______)
or
(3x_____) (2x _______)
where the blanks are +/- some numbers that multiple together to get 200. Since the 200 is positive and the 80 is negative, know it's going to be (minus) in both sides. (it has to be either both minus or both plus in order to get the +200). So now you just need to work out the various factors of 200.
1 * 200
2 * 100
4 * 50
5 * 40
8 * 25
10 * 20
Then you go through these possible combinations until you find something that FOILs out to give you -80x. You end up choosing
( 3x - 10 ) ( 2x - 20 ) = 0
which tells you that there are two possible ways for the left hand side to equal zero.
Case 1: 3x - 10 == 0, so x == 10/3
Case 2: 2x - 20 == 0, so x == 10