Question

Please help I have already asked these questions 3 times, Thank you soo much! - Alyssa

Answer 1

For the third problem, your work should look like this:

-b +/- √b^2 - 4ac  /  2a               ***** Plug in what you know ***********


-4 +/- √4^2 - 4(6)(-3)  /  2(6)      ***** Simplify ****************************


-4 +/- √4^2 + 72  /  12              


-4 +/- √16 + 72  / 12


-4 +/- √88 / 12      (The -4 and 12 can be simplified since they are constants.)
 
 
-1 +/- √88  /  3      (√88 can be broken down)


√88 = 2√22               this means that you should now have:


-1 +/- 2√22  /  3


**** Now you have 2 different answers *************************************

If they want the exact answers, leave the answers as what you have. If they want an approximation as your answer, then simplify the problem further. 

For exact answers:

answer 1:                                           answer 2:

-1 + 2√22  /  3                                    -1 - 2√22  /  3


For completely simplified answers:

answer 1:                                             answer 2:

-1 + 9.38  /  3                                       -1 - 9.38  /  3

8.38  /  3                                              -10.38  /  3

x = 2.79                                               x = -3.46

******* Note that the 9.38 is a rounded value. It is not the exact decimal because it was rounded to the nearest hundredths place. *****************

******* Also note that the first answer is rounded to the nearest tenths place. *********