SOLUTION: (p-2)^2=4p

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Question 337761: (p-2)^2=4p
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28p-2%29%5E2=4p Start with the given equation.


p%5E2-4p%2B4=4p FOIL


p%5E2-4p%2B4-4p=0 Subtract 4p from both sides.


p%5E2-8p%2B4=0 Combine like terms.


Notice we have a quadratic equation in the form of ap%5E2%2Bbp%2Bc where a=1, b=-8, and c=4


Let's use the quadratic formula to solve for p


p+=+%28-b+%2B-+sqrt%28+b%5E2-4ac+%29%29%2F%282a%29 Start with the quadratic formula


p+=+%28-%28-8%29+%2B-+sqrt%28+%28-8%29%5E2-4%281%29%284%29+%29%29%2F%282%281%29%29 Plug in a=1, b=-8, and c=4


p+=+%288+%2B-+sqrt%28+%28-8%29%5E2-4%281%29%284%29+%29%29%2F%282%281%29%29 Negate -8 to get 8.


p+=+%288+%2B-+sqrt%28+64-4%281%29%284%29+%29%29%2F%282%281%29%29 Square -8 to get 64.


p+=+%288+%2B-+sqrt%28+64-16+%29%29%2F%282%281%29%29 Multiply 4%281%29%284%29 to get 16


p+=+%288+%2B-+sqrt%28+48+%29%29%2F%282%281%29%29 Subtract 16 from 64 to get 48


p+=+%288+%2B-+sqrt%28+48+%29%29%2F%282%29 Multiply 2 and 1 to get 2.


p+=+%288+%2B-+4%2Asqrt%283%29%29%2F%282%29 Simplify the square root (note: If you need help with simplifying square roots, check out this solver)


p+=+%288%29%2F%282%29+%2B-+%284%2Asqrt%283%29%29%2F%282%29 Break up the fraction.


p+=+4+%2B-+2%2Asqrt%283%29 Reduce.


p+=+4%2B2%2Asqrt%283%29 or p+=+4-2%2Asqrt%283%29 Break up the expression.


So the answers are p+=+4%2B2%2Asqrt%283%29 or p+=+4-2%2Asqrt%283%29


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website.

Jim