Two problems here i need solved! i need every step, so have that with your 1. solve this rational equation: 1. solve this radical equation:

QUESTION 1

We want to solve,



We factor the denominator of the fraction on the right hand side to get,



This implies




We multiply through by LCM of




We expand to get,



We group like terms and equate everything to zero,



We split the middle term,



We factor to get,











But

is not in the domain of the given equation.

It is an extraneous solution.


is the only solution.

QUESTION 2



We add x to both sides,



We square both sides,



We expand to get,



This implies,



We solve this quadratic equation by factorization,











But

is an extraneous solution