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Start with the given equation.
Get every term to the left side.
Combine and rearrange the terms.
we can see that
Start with the discriminant formula.
So the discriminant is
Since the discriminant is greater than zero, this means that there are two real solutions. Since the discriminant is NOT a perfect square, this means that the two solutions are irrational.
So the answer is "two different irrational solutions"
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