How can we show a number increased by 2? can you prove this using a model? if so, draw the model.

x + 2

Step-by-step explanation:

Let x be the unknown number,

For making the diagram to model this problem,

Take a grid that shows x, ( shown below )

Then take a grid that shows 2.

Join these grids,

We obtain a grid, showing x + 2

Hence, the required expression that represents the given situation is x + 2

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0