For this test remember all questions have two answers. Please put the smaller answer in the first blank. Solve. x2=12

2.1      Solve  :    x2-12 = 0

Add  12  to both sides of the equation :

                     x2 = 12

When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:  

                     x  =  ± √ 12  

Can  √ 12 be simplified ?

Yes!   The prime factorization of  12   is

  2•2•3

To be able to remove something from under the radical, there have to be  2  instances of it (because we are taking a square i.e. second root).

√ 12   =  √ 2•2•3   =

               ±  2 • √ 3

The equation has two real solutions  

These solutions are  x = 2 • ± √3 = ± 3.4641 /This is the answer

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)

shift 4 units up, and 1 unit left.

it will translate f(x) = 3^x to g(x) = 3^(x+1) + 4