Question

The sum of a number and its reciprocal is 5 1/5.

Answer 1

take a guess

Answer 2

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

Answer 3

if you can't see the answer staring at you

Answer 4

sadly, i cannot see the answer staring at me either

Answer 5

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

Answer 6

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

Answer 7

1/5

Answer 8

so what does and mean?

Answer 9

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?

Answer 10

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

Answer 11

5 and 1/5*

Answer 12

:)

Answer 13

5+1/5 = 5 and 1/5

5^(-1) = 1/5

Answer 14

hence "the answer is stairing you in the face"

Answer 15

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

Answer 16

s othe answer is 5 or 1/5 hahaha

Answer 17

So there is no real calculation needed for this question?

Answer 18

\[x+\frac 1x=5~\frac 15\]\[\frac {x^2+1}x=\frac {26}5\]\[x^2+1=\left(\frac {26}5\right)x\]\[x^2-\left(\frac{26}5\right)x+1=0\]

\[x_{1,2}=\frac{-(-\frac{26}5)\pm\sqrt{(-\frac{26}5)^2-4}}{2}\]\[\qquad=\frac{\frac{26}5\pm\sqrt{\frac{676}{25}-4}}{2}\]\[\quad=\quad...\]

Answer 19

x+ 5/26