What is the solution to x4 - 12x2+10>0
1 answer:
Answer:
(-√(6-√26) < x < √(6-√26)) ∪ (x < -√(6 +√26)) ∪ (√(6 +√26) < x)
Step-by-step explanation:
Using x^2 = z, the equation can be rewritten as ...
z^2 -12z +10 > 0
(z -6)^2 -26 > 0
|z -6| > √26
This resolves to two equations.
This one ...
x^2 -6 < -√26 . . . . substitute x^2 for z
|x| < √(6-√26) . . . . add 6, take the square root; use √a^2 = |a|
-√(6-√26) < x < √(6-√26)
__
and this one ...
x^2 -6 > √26
|x| > √(6 +√26)
x < -√(6 +√26) ∪ √(6 +√26) < x
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Answer:
Step-by-step explanation:
When looking for constant rate, you have to see what is the repeating rate or coordinate in order to solve constant rate.
Let us take two coordinate points,
- ( 1 , 5 )
- ( 3 , 15 )
If we were to look for constant rate, we have to see the similarity (in this case the multiplication of the two numbers) between the two points.
What can they be?
They both have x multiplying by 5 to get y!
1 * 5 = 5
3 * 5 = 15
The same goes with all other points on the graph, leaving you with five as the constant rate.