Question

2 The sum of a number and its reciprocal is 51. Find the number.

Answer 1

The equation you're looking for is x + (1/x) = 51.

Answer 2

Let the number be 'x'.then,
its reciprocal=\(\Large{1 \over x}\)

A/q,
\(\Large{\implies {{x+{1\over x}={51}}}}\)
\(\Large{\implies{{x^2+1\over x}=51}}\)

Answer 3

i think u can do this now :)

Answer 4

hmm I made it to x^2-51x+1=0 but whats the next step?

Answer 5

u can solve this quadratic equation by either quadratic formula method or factorization method if possible.

Answer 6

so after looking @ the equation we see that it can't be done by factorization method

Answer 7

hence, we use quadratic formula method

Answer 8

Can you help me check if the answer is x = 2.6180339887499 ?

Answer 9

I got 50.9804. The exact form is x = 2/(51+7 sqrt(53))

Answer 10

hmm what if the recipicol is 5 and 1/5?

Answer 11

5 + 1/5 would be 6/5.