Question

Please solve and explain how. Photo attached

Answer 1

The solution is
`x=14`

Step-by-step explanation:

The given expression is
`(6)/(x^(2) -3x)=(1)/(x)- (5)/(x^(2) -3x)`

We need to determine the solution of the expression.

Let us simplify the equation by taking LCM on both sides.

The LCM of
`x^(2) -3x` is
`x(x-3)`

Thus, we have,

`(6)/(x^(2) -3x)x(x-3)=(1)/(x)x(x-3)- (5)/(x^(2) -3x)x(x-3)`

Simplifying the terms, we get,

`6=x-3-5`

Subtracting the terms, we have,

`6=x-8`

Subtracting both sides of the expression by 6, we get,

`0=x-14`

Adding both sides of the expression by 14, we have,

`14=x`

Thus, the solution of the equation is
`x=14`