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Gre4nikov [31]
4 years ago
15

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

Mathematics
2 answers:
Juli2301 [7.4K]4 years ago
5 0

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

Eddi Din [679]4 years ago
3 0

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

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