Question

I need help with these math questions extraneous solution #9

Answer 1

given the function

`4x-17=(15)/(x)`

solving for x

`x(4x-17)=15`
`4x^2-17x=15`
`4x^2-17x-15=0`
`4x^2-20x+3x-15=0`
`2^2x((2^2*x^2)/(2^2*x)-(2^2*5x)/(2^2*x))+3((3x)/(3)-(3*5)/(3))=0`
`2^2x(x-5)+3(x-5)=0`
`(x-5)(2^2x+3)=0`
`(x-5)(4x+3)=0`

then

`(x-5)=0`
`x=5`

and

`4x+3=0`
`4x=-3`
`x=-(3)/(4)`

x = 5

x = -3/4