SOLUTION: Happy Easter! Equations with two radical terms. 1.) 3 + square root of z-6= square root of z+9 2.) If g(x)= square root of x + square root of x-5, find any x for which g(x

Question 1026785: Happy Easter!
Equations with two radical terms.
1.) 3 + square root of z-6= square root of z+9
2.) If g(x)= square root of x + square root of x-5, find any x for which g(x)=5
3.) square root of a= -1
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
1.)
==> after squaring both sides
==> after simplifying,
==>
==> z-6 = 1 after squaring both sides.
==> z = 7.
Substituting z = 7 into the original equation to check if it is extraneous, it easily seen to satisfy the original equation, and so is the only solution.
2.)
<==>
==> after squaring both sides,
==> after simplifying,
==> ==> x = 9.
Substituting x = 9 into the original equation to check if it is extraneous, it easily seen to satisfy the original equation, and so is the only solution.

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