What are the solutions to the following system of equations? y = x^2 - 3x + 3

x = 3/2 + root(3)/2  or  x = 3/2 - root(3)/2

In vertex form the equation is  y = (x - 3/2)^2 + 3/4

Step-by-step explanation:

y = x^2 - 3x + 3

y = x^2  - 3x  + 9/4  - 9/4 + 3

y = (x - 3/2)^2  + 3/4

I think you want to find the roots to the equation, right?

so  

y = (x - 3/2)^2  + 3/4 = 0

(x - 3/2)^2 = -3/4

x - 3/2 =  root(-3/4)

x = 3/2 + root(3)/2  or  x = 3/2 - root(3)/2

29 is the correct answer

step-by-step explanation:

d. 8

step-by-step explanation:

the given radical expression is:

we can rewrite this as:

we express as square numbers to get;

the exponents will now cancel out to give.

the correct answer is d