Question

Solve for x: 1 over 2 plus 4 over 2 x equals quantity x plus 4 over 10

Answer 1

there are two solutions when adding your fraction- your two answers should be x=-4 and x=5, which is answer choice C for this problem! hope this helped you!

Explanation:

Answer 2

`(1)/(2) + (4)/(2x) = (x + 4)/(10)`

`(x)/(2x) + (4)/(2x) = (x + 4)/(10)`

`(x + 4)/(2x) = (x + 4)/(10)`

`10(x + 4) = 2x(x + 4)`

`10(x) + 10(4) = 2x(x) + 2x(4)`

`10x + 40 = 2x^(2) + 8x`

`40 = 2x^(2) - 2x`

`20 = x^(2) - x`

`0 = x^(2) - x - 20`

`0 = (x - 5)(x + 4)`

`0 = x - 5\ or\ 0 = x + 4`

`5 = x\ or\ -4 = x`