SOLUTION: square x-2=3 solve by using graphing utility to verify the solution

Algebra ->  Radicals -> SOLUTION: square x-2=3 solve by using graphing utility to verify the solution      Log On


   



Question 17587: square x-2=3 solve by using graphing utility to verify the solution
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
Assuming that you mean sqrt%28x-2%29+=3, the first step is to set the equation equal to zero to write sqrt%28x-2%29-3=0 , and graph y+=+sqrt%28x-2%29+-+3+. The solution will be the value(s) of x where this graph crosses the x axis. You can assume because of the square root that x+%3E=+2. The value of x where the graph crosses the x axis is the solution for this equation:
graph+%28600%2C300%2C+2%2C20%2C-10%2C10%2C+sqrt%28x-2%29-3%29+

The normal graph for x from -10 to 10 may NOT work here. You may need to use a value of x larger than 10. Let's try graphing up to x= 20 and see if the graph crosses the x axis. It turns out that x= 11 is the value that works, so this is the solution. X=11, and it checks also!

R^2 at SCC