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2006-07-02 14:53:03 · 7 answers · asked by marcella i 1 in Science & Mathematics Mathematics

7 answers

x = 4 , -2

sam ;)

2006-07-02 17:03:28 · answer #1 · answered by Anonymous · 0 0

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
----------------
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 · answer #2 · answered by Ellusive Lady 3 · 0 0

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 · answer #3 · answered by Azmil M. 2 · 0 0

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 · answer #4 · answered by mathsmart 4 · 0 0

x^2 - 2x - 8 = 0
(x - 4)(x + 2) = 0
x = 4 or -2

2006-07-02 17:09:27 · answer #5 · answered by Sherman81 6 · 0 0

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 · answer #6 · answered by baboon 1 · 0 0

no

2006-07-02 14:56:47 · answer #7 · answered by lizzie3932 1 · 0 0

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