Question

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

Answer 1

E.

-3, 5

Explanation:

Answer 2

The values of x are -3 and 5

Explanation:

we have

`x-(15)/(x)=2`

Multiply by x both sides to remove the fraction

`x^(2) -15=2x\\\\x^(2) -2x-15=0`

The formula to solve a quadratic equation of the form

`ax^(2) +bx+c=0`

is equal to

`x=\frac{-b(+/-)\sqrt{b^(2)-4ac}} {2a}`

in this problem we have

`x^(2) -2x-15=0`

so

`a=1\\b=-2\\c=-15`

substitute in the formula

`x=\frac{-(-2)(+/-)\sqrt{-2^(2)-4(1)(-15)}} {2(1)}`

`x=\frac{2(+/-)√(64)} {2}`

`x=\frac{2(+/-)8} {2}`

`x_1=\frac{2(+)8} {2}=5`

`x_2=\frac{2(-)8} {2}=-3`

therefore

The values of x are -3 and 5