SOLUTION: Hello out there,I need some help with some tough problems,the first one is,Solve the equation:p=sqrt2p-1.The next one is,Solve the equation:sqrt k+2=2.The third one is,Solve the eq

Algebra ->  Radicals -> SOLUTION: Hello out there,I need some help with some tough problems,the first one is,Solve the equation:p=sqrt2p-1.The next one is,Solve the equation:sqrt k+2=2.The third one is,Solve the eq      Log On


   

Question 109622: Hello out there,I need some help with some tough problems,the first one is,Solve the equation:p=sqrt2p-1.The next one is,Solve the equation:sqrt k+2=2.The third one is,Solve the equation:sqrt2a=2.And the last one is,Solve the equation:sqrt z=-1,thanks to anyone who can help.
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the equation:
p=sqrt%282p-1%29........raise both sides to second power
p%5E2+=+%28sqrt%282p+-+1%29%29%5E2
p%5E2+=+2p+-+1
or, move both terms from right side to the left side
p%5E2+-+2p+%2B+1+=+0
%28p-1%29%5E2=0
then
p-1=0
p+=+1
Solve the equation:sqrt
k%2B2=2
k+=+2+-+2
k+=+0
Solve the equation:
sqrt%282a%29=2........raise both sides to second power
%28sqrt%282a%29%29%5E2+=+2%5E2
2a+=+4....divide both sides by 2
a+=+2

Solve the equation:
sqrt%28z%29=-1.....raise both sides to second power
%28sqrt%28z%29%29%5E2=%28-1%29%5E2.....
z+=+1