how would i solve this problem 1/(x+3)+1/x=1/8 i know the final answer is 13+-radical 265 all over2

Question

campbell_st · Answer

multiply every term by the common denominator 8x(x + 3)|

which will give

8x + 8(x+3) = x(x+3)

expand and collect like terms

8x + 8x + 24 = x^2 + 3x

x^2 - 13x -24 = 0

solve the quadratic

use the general quadratic formula

$$x = (13 \pm \sqrt{(-13)^2 - 4\times1 \times (-24)})/(2\times1)$$

$$x = (13 \pm \sqrt{265})/2$$

anonymous · Answer

you basically want to flip everything so that you don't have fractions. so what you will do is multiply evertying by all the bases
multiply left and right by (x+3) & x & 8

anonymous · Answer

what he said :)

anonymous · Answer

don't forget to click on the good answer button 
the least you can do, since cambell was nice enough to do all of this for you

campbell_st · Answer

lol.. thanks ks

anonymous · Answer

:)