
We have to find out the value of the fraction.
<u>Let us assume that:</u>

<u>We can also write it as:</u>




<u>Comparing </u>the given <u>equation</u> with <u>ax² + bx + c = 0,</u> we get:

<u>By quadratic formula:</u>







<u>But </u><u>"</u><u>x"</u><u> cannot be negative. Therefore:</u>

So, the value of the fraction is 1 + √2.

Let
, so that differentiating both sides wrt
gives

If
and
, the above reduces to

This is the slope of the tangent line, which has equation

Answer:
Quadrant IV
Quadrant IV (Also known as Quadrant 4) is made of negative (left) and positive (top)
Answer:
100
Step-by-step explanation:
it is a bit unclear to me, what that problem description means.
if I understand it correctly, than z is directly depending on x².
so, z = 16 for x = 2. x² = 4
I pondered a little bit, as there are several possibilities to connect 16 with 4 as a driving factor (e.g. 2⁴ = 16, 4×4 = 16, 12 + 4 = 16).
I decided to go with the simplest interpretation with the usual meaning of "varies" (multiplication) : 4×x²
that would mean
z = 4×x² = 4×5² = 4×25 = 100