Question

The sum of a number and twice its reciprocal is 27/5. find the number

Answer 1

x + 2(1/x) = 27/5

Answer 2

okay but then what?

Answer 3

and is it 1/x because thats the reciprocal?

Answer 4

ya

Answer 5

so then x + 2/x + 27/5

Answer 6

= 27/5

Answer 7

multiply everything by x to get rid of the fraction.

x^2 + 2 = 27/5x

Answer 8

5x^2 -27x + 10 =0

Answer 9

then factor to solve it i guess or use the quadratic formula. I am not 100% sure of this, double check or see if the answer u get is correct

Answer 10

idk how to factor that. i cant do it

Answer 11

idk i guess thats the only way to do it

Answer 12

(5z-2)(z-5)=0