the sum of rational number and its reciprocal is 13÷6 find the numbers
Answers
Answered by
1
2.166 is the correcy rational nue
Answered by
8
let the number be c
it's reciprocal is 1/x
according to problem
x+1/x=13/6
x^2+1/x=13/6
doing cross multiplication
(x^2+1)6=13x
6x^2+6-13x=0
6x^2-13x+6=0
6x^2-9x-4x+6=0
3x(2x-3)-2(2x-3)=0
(3x-2)(2x-3)=0
x=2/3,3/2
it's reciprocal is 1/x
according to problem
x+1/x=13/6
x^2+1/x=13/6
doing cross multiplication
(x^2+1)6=13x
6x^2+6-13x=0
6x^2-13x+6=0
6x^2-9x-4x+6=0
3x(2x-3)-2(2x-3)=0
(3x-2)(2x-3)=0
x=2/3,3/2
Similar questions