SOLUTION: Why can't you have an exponent greater than 6 in a quadratic equation?

Question 275553: Why can't you have an exponent greater than 6 in a quadratic equation?
Found 2 solutions by stanbon, Alan3354:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Why can't you have an exponent greater than 6 in a quadratic equation?
Ans: You can.
x^8 + 2x^4 + 1 = 0
is a quadratic form:
(x^4)^2 + 2x^4 + 1 = 0
---
Factor:
(x^4+1)^2 = 0
(x^2+i)(x^2-i) = 0
x = +-sqrt(-i) or x = +-sqrt(i)
==================================
Cheers,
Stan H.

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
It's a matter of semantics.
quadratic is 2nd order, or exponent 2. It comes from quadrangle, which is rectangular.
---------------
But, as the other tutor pointed out, it can be a quadratic in x^4, which gives and exponent of 8.
If the exponents are in order as in his example, 8, 4, 0, then it's a quadratic in x^4. It's
-------------
I don't know where you might have gotten the info about exponent 6.

RELATED QUESTIONS
Do rational expressions have more than one solution? Why so? How would you define what a (answered by Alan3354)
I have a question about discriminant and quadratic equations. Can anyone answer the below (answered by stanbon)
Explain why a triangle with sides of 6, 9, and 10 cannot have an area greater than... (answered by josgarithmetic)
Quadratic equations, which are expressed in the form of ax2 + bx + c = 0, where a does... (answered by richard1234)
If one throws a ball down from a high cliff, the distance it travels can be modeled by... (answered by josmiceli)
a. Find all (real) solutions for x: x − √(6 − x) = 4. If you eliminate... (answered by Fombitz)
Can you have 3 solutions for a quadratic... (answered by robertb)
I have no done math in years. I am seeking out help for a friend. What is the rule to an... (answered by Theo,Edwin McCravy,AnlytcPhil)
In a certain year, the amount of A garbage in pounds produced after t day by an average... (answered by jim_thompson5910)