SOLUTION: Give exact and approximate solutions to three decimal places. (x-4)^2=24 x= (type an exact answer using radicals if needed. Rationalize all denominators. Express complex numbers

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Give exact and approximate solutions to three decimal places. (x-4)^2=24 x= (type an exact answer using radicals if needed. Rationalize all denominators. Express complex numbers      Log On


   

Question 176176: Give exact and approximate solutions to three decimal places.
(x-4)^2=24
x=
(type an exact answer using radicals if needed. Rationalize all denominators. Express complex numbers in terms of i. Use a comma to separate answers as needed)
There are no approximate solutions since the solutions are integers
please help
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
What makes you say that the solutions are integers?

%28x-4%29%5E2=24

Take the square root of both sides:

x+-+4+=+sqrt%2824%29 or x+-+4+=+-sqrt%2824%29, so:

x+=+4+%2B+sqrt%2824%29+=+4+%2B+2%2Asqrt%286%29 or x+=+4+-+2%2Asqrt%286%29

You can push the buttons on the calculator as well as I can for the approximate answers.