## stevenl723 3 years ago The sum of a number and its reciprocal is 5 1/5.

• This Question is Open
1. UnkleRhaukus

take a guess

2. stevenl723

do I have to convert the mixed fraction to a improper fraction?

3. UnkleRhaukus

if you can't see the answer staring at you

4. lgbasallote

5. stevenl723

$x^2+1-5\frac{1 }{ 5}=0?$

6. zzr0ck3r

5 and 1/2 what does and mean? and what is the recipicle of 5?

7. stevenl723

1/5

8. zzr0ck3r

so what does and mean?

9. stevenl723

but I don't get what the question is asking.. it says what is the reciprocal of 5 and 1/5... but how is it 5 or 1/5?

10. zzr0ck3r

its asking what two numbers can you add together and get 5 and 1/2 or what numbers can you add together and get 5+1/2 note: 5 is the recipicle of 1/5 and vice versa

11. lgbasallote

5 and 1/5*

12. zzr0ck3r

:)

13. zzr0ck3r

5+1/5 = 5 and 1/5 5^(-1) = 1/5

14. zzr0ck3r

hence "the answer is stairing you in the face"

15. stevenl723

OH.... so its 5+1/5 not 5 1/5... i was thinking something differently.. thanks

16. stevenl723

s othe answer is 5 or 1/5 hahaha

17. stevenl723

So there is no real calculation needed for this question?

18. UnkleRhaukus

$x+\frac 1x=5~\frac 15$$\frac {x^2+1}x=\frac {26}5$$x^2+1=\left(\frac {26}5\right)x$$x^2-\left(\frac{26}5\right)x+1=0$ $x_{1,2}=\frac{-(-\frac{26}5)\pm\sqrt{(-\frac{26}5)^2-4}}{2}$$\qquad=\frac{\frac{26}5\pm\sqrt{\frac{676}{25}-4}}{2}$$\quad=\quad...$

19. AmberCat21

x+ 5/26