SOLUTION: Show that the product of the roots of a quadratic equation is c/a. Can someone get me started?

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Question 1199135: Show that the product of the roots of a quadratic equation is c/a.
Can someone get me started?

Found 3 solutions by josgarithmetic, greenestamps, ikleyn:
Answer by josgarithmetic(39617)   (Show Source):
You can put this solution on YOUR website!
Are you starting with ?

Answer by greenestamps(13200)   (Show Source):
You can put this solution on YOUR website!

The quadratic formula says the roots of the quadratic equation are

and

Multiply the two roots and simplify and see what you get.

Answer by ikleyn(52785)   (Show Source):
You can put this solution on YOUR website!
.

Vieta's formula / (theorem) for quadratic equation.

See and learn from these sources

https://www.andrew.cmu.edu/user/daltizio/Vietas%20Formulas.pdf
https://en.wikipedia.org/wiki/Vieta%27s_formulas#:~:text=In%20mathematics%2C%20Vieta's%20formulas%20relate,%2C%20%22Franciscus%20Vieta%22).

About French mathematician Francois Vieta read from this Wikipedia article

https://en.wikipedia.org/wiki/Fran%C3%A7ois_Vi%C3%A8te

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To see many typical solved problems on Vieta's theorem, look into the lesson
    - Using Vieta's theorem to solve qudratic equations and related problems
in this site.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this textbook under the topic "Quadratic equations".

Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.