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
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Factor:
(x^4+1)^2 = 0
(x^2+i)(x^2-i) = 0
x = +-sqrt(-i) or x = +-sqrt(i)
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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.
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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 
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I don't know where you might have gotten the info about exponent 6.
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