SOLUTION: How do you create a quadratic equation if you only have the solutions? I am really not getting the quadratic equation math at all. Example if I have theses two numbers, 8 and 4/5 a
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Question 465444: How do you create a quadratic equation if you only have the solutions? I am really not getting the quadratic equation math at all. Example if I have theses two numbers, 8 and 4/5 as solutions to create a quadratice equation.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
A quadratic equation is one in which the
highest power of is .
This will automatically happen when you
multiply something like
You get
---------------------
Now suppose you have 2 solutions to a
quadratic equation,
(1)
(2)
-----------
Subtract from both sides of (1)
(1)
Subtract from both sides of (2)
(2)
----------------
The key now is that if you multiply (1) and (2),
you will have , so
Now do the multiplication
Multiply both sides by
answer
--------------------
Now you can check the answer
Does work?
Multiply both sides by
OK
You can check the other solution
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