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Complete the squares for the following expressions.

0 votes

Complete the squares for the following expressions. a) x^2 - 8x + 12 b) s^2+3s-6

11.  a) x^2 + 4x b) y^2 + 5y

asked Sep 9 in ALGEBRA 2 by payton Apprentice

1 Answer

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a)

x^2 - 8x + 12  =  x^2 - 8x + 12 + 4 - 4

                      =  x^2 - 8x + 16 - 4

                      =  (x^2 - 2*4*x + 4^2 ) - 4

                      =  (x - 4)^2 - 4

b)

s^2 + 3s - 6  =  s^2 + 3s - 6 + 9/4 - 9/4

                    =  s^2 + 3s + 9/4 - 9/4 - 6

                    =  s^2 + 2*(3/2)*s + (3/2)^2 - (9/4 + 6)

                    =  (s + 3/2)^2 - ((9 + 24)/4)

                    =  (s + 3/2)^2 - 33/4

11)

a)

x^2 + 4x  =  x^2 + 4x + 4 - 4

               =  ( x^2 + 2*2*x + 2^2 ) - 4

               =  ( x + 2)^2 - 4

b)

y^2 + 5y  =  y^2 + 5y + 25/4 - 25/4

                =  y^2 + 2*(5/2)*y + (5/2)^2 - 25/4

                =  (y + 5/2)^2 - 25/4

Answer :

a)  x^2 - 8x + 12  =  (x - 4)^2 - 4

b)  s^2 + 3s - 6  =  (s + 3/2)^2 - 33/4

11)

a)  x^2 + 4x  =  x + 2)^2 - 4

b)  y^2 + 5y  =  (y + 5/2)^2 - 25/4

answered 2 days ago by homeworkhelp Mentor

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