Question

Find the values of x in this equation: x – 15 / x = 2.

Answer 1

For this case we must solve the following equation:

$x- \frac {15} {x} = 2$

We manipulate the equation algebraically:

$\frac {x ^ 2-15} {x} = 2\\x ^ 2-15 = 2x\\x ^ 2-2x-15 = 0$

To solve, we factor the equation. We must find two numbers that when multiplied by -15 and when summed by -2. These numbers are:

+3 and -5.

$(x + 3) (x-5) = 0$

So, the roots are:

$x_ {1} = - 3\\x_ {2} = 5$

Answer:

Option E

Answer 2

Answer:

E) -3, 5

Step-by-step explanation:

x – 15 / x = 2

x^2 - 15 = 2x

x^2 - 2x - 15 = 0

(x - 5)(x + 3) = 0

x - 5 = 0; x = 5

x + 3 = 0; x = -3

Solutions: -3, 5