For this case we have the following equation:

By completing squares we have:
Step 1:
Add
on both sides:

Step 2:
We rewrite the equation:

Step 3:
We solve the equation:

Solutions:

Answer:
the next line would be:

Answer:

Step-by-step explanation:
<u><em>The options of the question are</em></u>
2(x − 1)2 = 4
2(x − 1)2 = −4
2(x − 2)2 = 4
2(x − 2)2 = −4
we have

This is a vertical parabola open upward
The vertex represent the minimum value
The quadratic equation in vertex form is

where
a is a coefficient
(h,k) is the vertex
so
Convert the quadratic equation in vertex form
Factor 2 leading coefficient

Complete the squares


Rewrite as perfect squares

The vertex is the point (1,-4)
Move the constant to the right side

Answer:
(a) x = 13000 -135p
(b) x = 8140
Step-by-step explanation:
(a) consumer expenditure = 13000p -135p^2 = p(13000 -135p)
= px
so, x = 13000 -135p
__
(b) Filling in p=36, we find ...
x = 13000 -135·36
x = 8140