Move everything to one side and factorize by grouping.
x⁴ - 4 = x³ + 2x
x⁴ - x³ - 2x - 4 = 0
(x⁴ - 4) - (x³ + 2x) = 0
(x² - 2) (x² + 2) - x (x² + 2) = 0
(x² - x - 2) (x² + 2) = 0
(x - 2) (x + 1) (x² + 2) = 0
Then
x - 2 = 0 or x + 1 = 0 or x² + 2 = 0
x = 2 or x = -1 or x² = -2
If x is real, then the third case has no solution. Then x = 2 or x = -1. Otherwise, we can solve over the complexes and include x = ± √2 i where i = √(-1).
I think the answer is m2+1. Hope this helps. :)
Answer:

Step-by-step explanation:
Given

---- value of Gold
Required
The worth of 1 gold bar
First, calculate the volume (n) of the gold bar


Next, calculate the weight of the gold bar using:



Multiply the value of Gold by the weight of the gold bar to get the worth of the gold bar.

This gives:


Answer:
The diameter is 6.92 unit.
Step-by-step explanation:
Given : An equilateral triangle with sides of length 6 is inscribed in a circle.
To find : What is the diameter of the Circle?
Solution :
First we picture the situation.
Refer the attached figure below.
We that the angles of equilateral triangle is 60 degrees.
Then, we divide the triangle into two parts to solve the radius.
As,
∠ACD is 60°


In triangle OCD,






Diameter = 2r=2(3.4641)=6.92 unit.
Therefore, The diameter is 6.92 unit.