Question

So I need a little help here... I just learn this and I'm horrible at math :( Please state each steps clearly and explain them too (if you can, if not it's ok) Thanks!

Answer 1

`y = \sqrt{ (5x+3)/(x-5) }`

`y^(2) = (5x+3)/(x-5)`
Transpose the equation to eliminate any fractions:

`y^(2)(x-5) = 5x+3`
Expand the brackets:

`x y^(2) - 5 y^(2) = 5x+3`
Put x terms on one side and the others on the other side:

`xy^(2) - 5x = 5y^(2)+3`
Factorise to take x out of the terms:

`x(y^(2) - 5) = 5 y^(2) +3`
Transpose to leave only x on the left hand side of the equation:
∴
`x = (5 y^(2) + 3 )/( y^(2) -5 )`