SOLUTION: Why do you factor a quadratic equation before you solve? Why are there usually two solutions to a quadratic equation? What do the solutions of a quadratic equation represent? G

Algebra.Com
Question 312452: Why do you factor a quadratic equation before you solve?
Why are there usually two solutions to a quadratic equation?
What do the solutions of a quadratic equation represent? Give a example.

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
If it's possible it's an easy way to find the zeros of the function, that is, the x locations where the function crosses the x-axis.
There may be 0,1, or at most 2 solutions to a quadratic equation as shown below in my three examples.
.
.
.

.
.
.
Red-,
Green-, and
Blue-, No real solutions, doesn't cross the x-axis.

RELATED QUESTIONS

Why do you factor a quadratic equation before you... (answered by arunpaul)
Why do you factor a quadratic equation before you... (answered by Prithwis,longjonsilver)
Why do you factor a quadratic equation before you... (answered by checkley71)
Why do you factor a quadratic equation before you solve? (answered by Alan3354)
Why do you factor a quadratic equation before you... (answered by ichudov)
why do you factor a quadratic equation before you... (answered by Dannylion84,robertb)
Why are there usually 2 solutions in a quadratic... (answered by smartdude17)
Why do you factor a quadratic equasion before you... (answered by 2828344)
why is it a good idea to factor a quadratic equation before you... (answered by MathLover1)