- MonkZheng wrote:
- i need help on my maths homework....
>2 means squared
factorise=
x>2 - 4 / x>2 - x - 6
________ _________
x>2-7x+10 x>2 - 3x+1-
now that i see this under the quote image(which you can't see unless you qoute his)... there are two fractions.. and from what i am gonna assume, these two fractions are being divided..
x>2 -4
________
x>2-7x+10
thats fraction one
x>2 - x - 6
_________
x>2 - 3x +1 (assuming the "-" is a typo as well..)
thus... its a division problem, so flip the secon equation to:
x>2 -3x + 1
__________
x>2 - x - 6
then it becomes a multiplication problem with fractions..
x>2 -4 x>2 -3x +1
________ * ___________
x>2-7x+10 x>2 - x - 6
so.. we need to make the bottom equations match, but first, lets factor these out into simpler bits..hmmmm the tops can be factoed as well..
fraction 1:
x>2 - 4 = (x+2)(x-2)
x>2 - 7x + 10 = (x-5)(x-2)
fraction 2:
*top can't be factored*
x>2 - x -6 = (x+2)(x-3)
so.. the new eqautions would be:
(x+2)(x-2) x>2 -3x +1
_________ * ____________
(x-5)(x-2) (x+2)(x-3)
so much simpler now.. now we cross similar factors out....
1 x>2 -3x +1
__________ * ___________
(x-5) (x-3)
now lets multiply:
x-5)(x-3) = x>2 -3x -5x +15 = x>2 - 8x+15
x>2 -3x + 1
____________
x>2 - 8x+15
this is the answer i came up with.. i will now re read making sure i didn't mistype anythign screwing myself up
EDIT: view under the quote option, this forum does NOT handle multiple spaces thus squishing my equations together!
EDIT2: if he typod the bottom right of his starting eqation, and meant x>2 -
2x +1 then it could be factored cleanly.. secondly i could also make use of the quadratic eqaution, but doing that in the computer would be difficult, and the asnwers wouldn't come out clean either...