SOLUTION: Solve: 5(x-2)^2=3 I am coing up with 2=/- (radical sign)15/5 The answers I have is not on the multiple choice. Here are the choices. A. 1/5,19/5 B. 10+/-(RS)15/5 C. 10+/-(

Algebra ->  Radicals -> SOLUTION: Solve: 5(x-2)^2=3 I am coing up with 2=/- (radical sign)15/5 The answers I have is not on the multiple choice. Here are the choices. A. 1/5,19/5 B. 10+/-(RS)15/5 C. 10+/-(      Log On


   

Question 127252: Solve: 5(x-2)^2=3
I am coing up with 2=/- (radical sign)15/5
The answers I have is not on the multiple choice. Here are the choices.
A. 1/5,19/5 B. 10+/-(RS)15/5 C. 10+/-(RS)3/5 D. +/-59/25
Can you assist me with this problem, also can you show me the work?
Thanks
Found 2 solutions by jim_thompson5910, MathLover1:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the given equation




%28x-2%29%5E2=3%2F5 Divide both sides by 5



Take the square root of both sides



Add 2 to both sides to isolate x.


Break up the root


Multiply the fraction by sqrt%285%29%2Fsqrt%285%29


Multiply the fractions


Multiply 2 by 5%2F5


Multiply


Combine the fractions


-----------------------------------
Answer:

So our solution is:




which means that our answer is B

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
Solve:
5%28x-2%29%5E2=3 .........both sides divide by 5
%28x-2%29%5E2=3%2F5
sqrt%28%28x-2%29%5E2%29=sqrt%283%2F5%29
x-2=sqrt%283%2F5%29
x+=sqrt%283%2F5%29%2B+2
x+=sqrt%283%29%2Fsqrt%285%29%2B+2
x+=%28sqrt%283%29%2B+2sqrt%285%29%29%2Fsqrt%285%29
x+=+sqrt%285%29%28%28sqrt%283%29%2B+2sqrt%285%29%29%29+%2Fsqrt%285%29sqrt%285%29
x+=+sqrt%285%29%28%28sqrt%283%29%2B+2sqrt%285%29%29%29+%2F5

x+=+%28sqrt%285%29%28sqrt%283%29%2B+2sqrt%285%29sqrt%285%29%29%29+%2F5
x+=+%28%28sqrt%2815%29%2B+2%285%29%29%29+%2F5
x+=+%28sqrt%2815%29%2B10%29+%2F5