Solve for x: 2 over quantity x plus 2 plus 1 over 5 equals 6 over quantity x plus 5. x = 0 x = −13 x = 13 x = 0 and x = 13

Question

asked Mar 24, 2019 165k views

1 Answer

Karah · Answer 1 · 2019-03-29T23:35:27+0000

To solve this problem you must apply the proccedure shown below:

1. You have the following expression given in the problem above:

(2)/(x+2)+(1)/(5)=(6)/(x+5)

2. You need to sum the fractions located on the left member, as following:

(10+(x+2))/(5(x+2))=(6)/(x+5)

x=(12+x)(x+5)=6(5x+10)

3. Simplify it and you will obtain a quadratic equation. Solve it by factor out
:

$x^(2) -13x=0\\ x(x-13)=0\\ x=0; x=13$

Therefore, the answer is: