SOLUTION: solve the following for x, square root 5x-15 all under one

SOLUTION: solve the following for x, square root 5x-15 all under one - square root x +1 all under one = 2

Question 624279: solve the following for x,
square root 5x-15 all under one - square root x +1 all under DISABLED_event_one= 2
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
, adding to both sides, turns into

Squaring both sides, we get
Adding to both sides we get

Dividing both sides by 4 we get

Suqaring both sides again, we get

Adding to both sides, we get

Factoring, we get

The solutions to are and .
Those could be solutions of the original equation, or could be extraneous solutions, introduced by all that squaring of both sides.
We must test them in the original equation.
gives while ,
so
showing that is not a solution of the original equation.
gives while ,
so
showing that is the solution.
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