It may be easier if you got rid of the fractions
x^2 - 1/4 x + 1/16
16x^2 - 4 x + 1
This is not factorable, are you sure you wrote it down correctly?
2006-10-12 13:49:35
·
answer #1
·
answered by Anonymous
·
0⤊
0⤋
If you don't like the fractions multiply by 16:
16x^2 + 4x + 1
Better? If not, use the quadratic equation
x = (-4 +- sqrt(16 - 4*16*1))/2*16
= (-4 +- sqrt(-48))/32
So this does not factor over the reals. You can get the complex factors, if you want, from this equation.
2006-10-12 13:52:00
·
answer #2
·
answered by sofarsogood 5
·
0⤊
0⤋
x^2 -1/4x +1/16
1/16-4/16=-3/16<0 so there are no real factors. If there is a typo & the eqn shoud be
x^2 -1/2x +1/16 then it =(x-1/4)^2
2006-10-12 15:14:45
·
answer #3
·
answered by yupchagee 7
·
0⤊
0⤋
16x^2+4x+1/16
factor the numerator using the Quadratic formula
2006-10-12 13:51:22
·
answer #4
·
answered by raj 7
·
0⤊
0⤋
x^2 - (1/4)x + (1/16)
Here is a trick, the quadratic formula
x = (-b ± sqrt(b^2 - 4ac))/(2a)
x = (-(-1/4) ± sqrt((-1/4)^2 - 4(1)(1/16)))/(2(1))
x = ((1/4) ± sqrt((1/16) - (4/16)))/2
x = ((1/4) ± sqrt(-3/16))/2
x = ((1/4) ± (i/4)sqrt(3))/2
x = (1/8)(1 ± isqrt(3))
therefore this problem cannot be factored.
if you tried to factor this, it would look something like this
(8x - (1 + isqrt(3))) * (8x - (1 - isqrt(3)))
2006-10-12 15:47:12
·
answer #5
·
answered by Sherman81 6
·
0⤊
0⤋
It has imaginary numbers
(x- (1/8+ i sqrt(3)/8)
change the + to a -
2006-10-12 13:52:30
·
answer #6
·
answered by travislizzie 2
·
0⤊
0⤋
think it was x^2-1/2x+1/16.
2006-10-12 13:52:42
·
answer #7
·
answered by Anonymous
·
0⤊
0⤋
use the quadratic formula first to obtain the zeores and it will factor to (x - first zero) * (x - second zero). I dunno if it will be real #'s or imaginary #'s. Too lazy to figure out.
2006-10-12 13:55:29
·
answer #8
·
answered by monkeyman 1
·
0⤊
0⤋
this is not factorable........
2006-10-12 14:20:56
·
answer #9
·
answered by Danny_V 1
·
0⤊
0⤋