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Mathematics 7 Online
OpenStudy (anonymous):

(x/x-2)-(x/x+2)=1

OpenStudy (sgadi):

I think something wrong in the question .... please correct it. Use "Equation" button to get the equation in good shape

OpenStudy (anonymous):

do you think there are infinetly many solutions or none at all

OpenStudy (anonymous):

Simplify the left hand side will give you (4x)/(x^2 - 4) = 1 [(4x)/(x^2 - 4) ]- 1 = 0 (x^2 - 4x - 4)/(x^2 - 4) = 0 => x^2 -4x -4 = 0 which you can solve by using the quadratic formula

OpenStudy (anonymous):

show me how to use it pls

OpenStudy (anonymous):

roots are \[-2 (\sqrt(2) -1)and 2 ( \sqrt(2) +1)\]

OpenStudy (anonymous):

kynosis is this the answer

OpenStudy (anonymous):

Kynosis, you know how to type out the quadratic formula nicely, please show to Tru769150

OpenStudy (anonymous):

I don't know how to type it here, sorry Tru

OpenStudy (anonymous):

but is what kynosis posted the answer

OpenStudy (anonymous):

\[ x=\frac{-b \pm \sqrt {b^2-4ac}}{2a}, \] which a is the coefficient of the x^2 term b is the coefficient of the x^1 term c is the coefficient of the x^0 term

OpenStudy (anonymous):

so can you show me how i write this in there x^2-4x-4=0

OpenStudy (anonymous):

Find the common denominator which is (x-2)(x+2) then the equation is \[x^2 -4x -4 = 0\]

OpenStudy (anonymous):

\[ x=\frac{4 \pm \sqrt {4^2+4(4)}}{2}, \]

OpenStudy (anonymous):

simplify and you have the same answer

OpenStudy (anonymous):

so it would be 4+or -4squrt of 2/2

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