x = 4 , -2
sam ;)
2006-07-02 17:03:28
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answer #1
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answered by Anonymous
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If you had noticed, the other two algebraic equations that i have solved for you, I have been using the two methods to prove to you that there are more ways than one to solve a question..
Nevertheless.. for this question...
p/s: pls do try to learn something out of all this...
x^2 - 2x - 8 = 0
The solution is as follows...
(x - 4) (x + 2) = 0
x = 4 or x = -2
Solution above is derived using the cross factorization method...
x -4 | -4x
x +2 | +2x
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x^2 -8 | -2x
>>>Another way of solving this equation is by making use of the formula...
x = (-b +- sqrt(b^2-4ac))/2a...
In this case, a = 1, b = -2 and c = -8
thus...
x = [-(-2) + sqrt((-2)^2 - 4(1)(-8))]/2(1)
=[2 + sqrt(36)]/2
= 8/2 = 4
Or
x = [-(-2) - sqrt((-2)^2 - 4(1)(-8))]/2(1)
=[2 - sqrt(36)]/2
= -4/2 = -2
Hence, as you can see... either way you do it, you will still get the right and same answer...
Cheers... (",)
2006-07-02 15:29:31
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answer #2
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answered by Ellusive Lady 3
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Isn't this your home work na?
You are studying at year 10 na?
k...
Answer is
x^2 - 2.X-8 = 0
X^2 - 4.x + 2.x -8 = 0
x(x-4) + 2(x-4) = 0
(x-4)(x+2) = 0
this can only happen when either (x-4) or (x2) or both become zeros.
(x-4) = 0 or (x+2) = 0
thanks...
so x = 4 or x = -2
2006-07-02 23:20:02
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answer #3
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answered by Azmil M. 2
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It's not too hard to factor a quadratic that starts with x^2
Each factor has to have an x in it and the other numbers have to have a product of -8 and a sum of -2.
So, you can factor it like this: (x + 2)(x - 4)= 0
Setting each factor equal to zero and solving for x gives
x = -2 or x = 4
2006-07-02 15:19:02
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answer #4
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answered by mathsmart 4
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x^2 - 2x - 8 = 0
(x - 4)(x + 2) = 0
x = 4 or -2
2006-07-02 17:09:27
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answer #5
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answered by Sherman81 6
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x2-2x-8=0
x2-4x+2x-8=0
x(x-4)+2(x-4)
implies x=4,2
2006-07-02 14:56:53
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answer #6
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answered by baboon 1
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no
2006-07-02 14:56:47
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answer #7
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answered by lizzie3932 1
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