Question

try factoring first, if to dificult use quadratice formula

1/x + 1/(x+5) = 1/3

Answer 1

\[\frac{1}{x+5}+\frac{1}{x}=\frac{1}{3} \]\[\left\{x=\frac{1}{2} \left(1-\sqrt{61}\right),x=\frac{1}{2} \left(1+\sqrt{61}\right)\right\} \]\[\{-3.40512,4.40512\} \]

Answer 2

not one of the answers?

Answer 3

they are

11(+-)sqrt45 over 2
-1(+-)sqrt45 over 2
-11(+-)sqrt45 over 2
1(+-)sqrt45 over 2

Answer 4

Move the RHS to the LHS and combine fractions:\[\frac{-x^2+x+15}{3 x (x+5)} \]\[\text{Solve}\left[-x^2+x+15==0,x\right]\to \left\{x\to \frac{1}{2} \left(1-\sqrt{61}\right),x\to \frac{1}{2} \left(1+\sqrt{61}\right)\right\} \]

Answer 5

-11(+-)sqrt 45 over 2

Answer 6

\[\frac{-11(+-) \sqrt{45} }{2} ?\]

Answer 7

yes

Answer 8

\[\frac{-11+ \sqrt{45} }{2}=-2.1459 ,\left(\frac{1}{x+5}+\frac{1}{x}\text{/.} x\to -2.1459\text{ }\right)=-0.115632 \]The answer should be equal to .333 or nearly so.

Answer 9

thanks!

Answer 10

Thank you for the medal.