Help me solve for x plz =D
$$0=89900\left(\frac1{x^2}+\frac1{(8.0-x)^2}\right)$$

Question

anonymous · Answer

$$\frac{89900}{x^2}=-\frac{89900}{(8.0-x)^2}$$

anonymous · Answer

$$1=\frac{x^2}{(8.0-x)^2}$$

zepdrix · Answer

$$\large 0=89900\left(\frac1{x^2}+\frac1{(8.0-x)^2}\right)$$Getting a common denominator in the brackets gives us,$$\large 0=89900\left(\frac{(8.0-x)^2+x^2}{x^2(8.0-x)^2}\right)$$Divide both sides by 89900, set the numerator equal to zero to solve for x.$$\large 0=(8.0-x)^2+x^2$$

It looks like you're headed in the same direction with the way you approached it though :D
From here we just have a quadratic.

zepdrix · Answer

Which doesn't appear to have any real solutions :\ hmm

anonymous · Answer

makes sense. Thanks....my algebra sucks :S
just had to double check 
so from here we have 
$$8^2-16x+x^2+x^2$$
$$=2x^2 -16x+64$$
$$=2(x^2-8x+32)$$
The answer should be 4

zepdrix · Answer

I put it into Wolfram just to check.
It's giving me the same answer I came up with.

Throwing this into the `Quadratic Formula` should give,
$$\large x=4 \pm 4i$$

Yer saying it's suppose to be 4 though? :o

anonymous · Answer

yep

zepdrix · Answer

Hmm, yah it's not 4 I'm afraid :\ Here is the problem worked out on wolfram if that helps. http://www.wolframalpha.com/input/?i=0%3D89900%281%2Fx%5E2%2B1%2F%288-x%29%5E2%29

anonymous · Answer

oh well...I'm too tired to care...haha

zepdrix · Answer

XD