Question

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

Answer 1

$\frac{1}{2} + \frac{4}{2x} = \frac{x + 4}{10}$
$\frac{x}{2x} + \frac{4}{2x} = \frac{x + 4}{10}$
$\frac{x + 4}{2x} = \frac{x + 4}{10}$
$10(x + 4) = 2x(x + 4)$
$10(x) + 10(4) = 2x(x) + 2x(4)$
$10x + 40 = 2x^{2} + 8x$
$40 = 2x^{2} - 2x$
$20 = x^{2} - x$
$0 = x^{2} - x - 20$
$0 = (x - 5)(x + 4)$
$0 = x - 5\ or\ 0 = x + 4$
$5 = x\ or\ -4 = x$

Answer 2

Answer:

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!

Step-by-step explanation: