can you solve this (x/4)-(4/x)=0?

2009-11-14 4:24 pm
can you show work
kthankkss(:

回答 (7)

2009-11-14 4:56 pm
✔ 最佳答案
x/4 - 4/x = 0
x/4 = 4/x
x = 4(4/x)
x^2 = 16
x = ±√16
x = ±4
2009-11-15 12:28 am
x/4 - 4/x = 0

x/4 = 4/x

cross multiply

x^2 = 16

take ^(1/2) on both side..... (square root)

x = +/- 4
2009-11-15 12:31 am
(x/4)-(4/x)
u multiply by 4 so its becomes
x-(16/x)
then u multiply by x so it becomes
x²-16=0
u bring 16 on the other side
x²=16
ur do the square root of 16 and x
u get x=4

so the answer is 4 :)
參考: im in high school
2009-11-15 12:31 am
(x/4)-(4/x)=0
(x/4)=(4/x)
x=4*(4/x)
x^2=16
x=4 or -4
參考: me
2009-11-15 12:29 am
(x/4)-(4/x)=0
==> [x^2 - 16] / 4x = 0
==> [x^2 - 16] = 0
==> (x-4) (x+4) = 0
==> x = 4 or x = (-4)
2009-11-15 12:29 am
Just from looking at it I can see that it works when x = 4, but there may be another solution, so let's solve it symbolically.

x/4 = 4/x
x² = 16
x = ±4

So x = ±4, which makes sense because x=-4 produces -1+1 = 0, and x = 4 produces 1-1 = 0.
2009-11-15 12:28 am
(x/4) - (4/x) = 0
(x/4) = (4/x)

cross-multiply
x² = 16
x = ±4


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