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2006-07-26 14:35:36 · 14 answers · asked by needalgebrahelp 1 in Education & Reference Homework Help

14 answers

x^-2 = 4
1/x^2 = 4
x^2 = 1/4
x = 1/2 or -1/2
Here is the right Answer.

2006-07-26 14:44:59 · answer #1 · answered by Hsu Thet H 2 · 0 0

x raised to the power minus 2 means: 1/x^2

thats is
1/x^2 = 4

cross multiply both sides so it will become:

1/4 = x^2

or

x^2 = 1/4

if there is square on one side, take it on the other side and it will become square root...(if u know this rule...u shud better know it)
and if u dont know this rule then just take a square root of both sides

(x^2)^1/2 (raised to the power half means square root of x^2)

so it will become:

(x^2)^1/2 = (1/4)^1/2... (square root of 1/4)
[left hand side] 2 and 2 will simplify each other

so it will become

x = +1/2 or -1/2

the answer is 1/2 (half)...b/c square root of 1/4 is 1/2...

2006-07-29 08:10:05 · answer #2 · answered by SARA H 2 · 0 0

x^-2 = 4 which is the same as: 1/[x^2] = 4

solving for x therefore involves:

1 = 4x^2
1/4 = x^2
sqrt (1/4) = x
1/2 = x

2006-07-26 22:06:37 · answer #3 · answered by Kris 2 · 0 0

the best way is to work backwards:

x^-2 also means 1/(x^2)
so we can rewrite the equation: 1/(x^2) = 4

now we multiply both sides by (x^2) to cancel out the denominator on the left side:

1=4x^2

then divide by four:

1/4 = x^2

now you take the square root of both sides (remember to take the root of both the numerator and the denominator):

1/2 = x

2006-07-26 21:41:03 · answer #4 · answered by *starry* eyed 2 · 0 0

Please clarify. Do you mean x(to the minus 2 power) = 4?

If so, x(to the minus 1 power) = 4 x 4 or 16
and x = 16 x 4 = 64

2006-07-26 21:41:59 · answer #5 · answered by F. Frederick Skitty 7 · 0 0

x^-2=4
1/x^2=4
1=4x^2
1/4=x^2
x=1/2!! =]
(x to the power of negative 2 rite?? )

2006-07-26 21:40:38 · answer #6 · answered by sadia1905 3 · 0 0

x^-2=4 so add 2 to both sides x^=6 sqrt. of 6 is
2.4494897427831780981972840747059
Sorry it's so long, shorter is 2.45 if you round it to the nearest hundredth

2006-07-26 21:59:57 · answer #7 · answered by Anonymous · 0 0

this is the same as
1/(xsquared) = 4
so,
4(xsquared) = 1
then,
4x^2 - 1 = 0
factoring it,
(2x+1) (2x-1) = 0
this means that either of the two is equal to zero. So,
(2x+1) = 0 or (2x-1) = 0
x = 1/2 or x = -1/2
can be expressed as,
x = 0.5 or x = -0.5

2006-07-26 21:54:14 · answer #8 · answered by Rollester 4 · 0 0

x= .5

2006-07-26 21:40:46 · answer #9 · answered by math guru 4 · 0 0

We never encountered X to the A in school when I went but whatever it is equals 6

2006-07-26 22:26:57 · answer #10 · answered by Anonymous · 0 0

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