Question

Solve for x: 2 over 5 plus 3 over 5 x equals quantity x plus 5 over 10

Choices -

x = -3
x = 2
x = -3 and x = 2
No Solution

Answer 1

answer is going to be x=-3, and x=2

Answer 2

`x=-3\ and\ x=2`

Explanation:

we have

`(2)/(5)+(3)/(5x)=(x+5)/(10)`

Simplify-----> Multiply by
`10x` both sides

`10x*(2)/(5)+10x*(3)/(5x)=10x*(x+5)/(10)`

`4x+6=x^(2)+5x`

`x^(2)+5x-4x-6=0`

`x^(2)+x-6=0`

Using a graphing tool-----> to resolve the quadratic equation

see the attached figure

The solutions are

`x=-3\ and\ x=2`