SOLUTION: please help me to answer this in simple terms so I can understand. Why are there usually two solutions in quadratic equations? Thank you!

Question 382916: please help me to answer this in simple terms so I can understand.
Why are there usually two solutions in quadratic equations?

Thank you!
Found 2 solutions by stanbon, Alan3354:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If you solve ax^2+bz+x = 0
you will get:
x = [-b +- sqrt(b^2-4ac)]/(2a)
---
You get two solutions because of the +-
in the quadratic formula.
=========================
x = [-b + sqrt(b^2-4ac)]/(2a) and x = [-b - sqrt(b^2-4ac)]/(2a)
===========================
Cheers,
Stan H.

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
There are always 2 solutions to a quadratic equation, not just usually.
Sometimes it's the same solution 2 times, called a "multiplicity of 2."
eg, has solutions of x = -2 and x = -2.
--------------------
Cubic equations (3rd order) always have 3 solutions.
4th power, quartics, always have 4, etc.
---------------
As to the why of this, it's because there are always 2 values that will satisfy a quadratic.

RELATED QUESTIONS
why are there usually two solutions in quadratic... (answered by ichudov)
Why are there usually two solutions in quadratic... (answered by longjonsilver)
Why are there usually two solutions in quadratic... (answered by Prithwis,longjonsilver)
Why are there usually two solutions in quadratic... (answered by Edwin McCravy)
Why are there usually two solutions in quadratic... (answered by KnightOwlTutor)
Why are there usually two solutions in quadratic equations? (answered by Mathtut)
Why are there usually two solutions in quadratic... (answered by richard1234)
Why are there usually 2 solutions in a quadratic... (answered by smartdude17)
i don't understand some of the quadratic equation steps, like: * when to use the two... (answered by stanbon,richwmiller)