Question

15/x-15/x+2=2

Answer 1

\[\frac{ 15 }{ x } - \frac{ 15 }{ x+2 } = 2\]

Answer 2

multiply each term so that they both have a common denominator.

Answer 3

the common denominator should be x(x+2)

Answer 4

multiple the numerator and the denominator of each term until every term (on the left) has that denominator.

Answer 5

so it is \[\frac{ 30x }{ x(x+2)} = 2\]

Answer 6

now multiply the left by x(x+2) and the right by the same.

Answer 7

that will get rid of the fraction.

Answer 8

so 30=2(x(x+2) @seitys

Answer 9

you're missing an x on the left.
30=2(x(x+2))
30=2(x^2+2x)
30=2x^2+4x
0=2x^2+4x-30
0=2(x^2+2x-15)
0=2(x+5)(x-3)

Answer 10

ignore my first line, you're not missing an x on the left.

Answer 11

the answer in my book says -5, 3; i get how the -5 and 3 work but where does the 2 go because its not in the answer

Answer 12

@seitys

Answer 13

x can be -5 or 3.

Answer 14

if you plug in -5 or 3 for x, it satisfies the equation which is equal to 0.

Answer 15

2 is a constant, it doesn't have a role. if that 2 was 1,000,000 instead, your zeroes are still -5 and 3.

Answer 16

because only -5 OR 3 would make that equation equal to 0.

Answer 17

ah ok, thank you!