SOLUTION: give the approximate solutions to three decimals places (x-12)^2=45

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Question 311900: give the approximate solutions to three decimals places (x-12)^2=45
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!


%28x-12%29%5E2=45

Use the principle of square roots:

x-12+=+%22%22%2B-sqrt%2845%29


x=12%2B-sqrt%2845%29

x=12%2B-sqrt%289%2A5%29


x=12%2B-sqrt%289%29%2Asqrt%285%29

x=12+%2B-+3%2Asqrt%285%29

x=12+%2B-+3%2A2.236

x+=+12%2B-+6.708

Using the +,  x=12+%2B+6.708=18.708

Using the -,  x=12+-+6.708=5.292

Edwin