Answer:
This equation has no real roots
Step-by-step explanation:
We want to solve

We group all terms on the left:


Divide through by -6

The discriminant is

This means the given equation has no real solution, since the discriminant is less than 0
The quadratic formula is:

and

Let's identify our a, b, and c values:
a: -1
b: 1
c: 12
Plug in the values for a, b, and c into the equation. Let's do the first equation:

Simplify everything in the radical:

Simplify the radical:

Combine like terms:

Simplify:

This is one solution, now, let's solve for the other equation:
Since when simplified, everything is the same except the subtraction sign, we can skip the simplification again and change the sign to subtraction:

Combine like terms:

Simplify:

Your final answers are:


Answer:
option 2 must be the correct answer because the two figure are congruent figure.
Since the centre of dilatation is the origin, we only require to multiply each of the coordinate points by the scale factor 3
(- 2, 1 ) → ( - 6, 3 )
(- 2, 3 ) → (- 6, 9 )
(1, 2 ) → (3, 6 )
(1, 3 ) → (3, 9 )