SOLUTION: Is "solving quadratic equation by extracting square roots" and "solving quadratic equation by factoring" the same?

Question 1175057: Is "solving quadratic equation by extracting square roots" and "solving quadratic equation by factoring" the same?
Found 2 solutions by Theo, ikleyn:
Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
i don't believe so.
they should get the same result, but the method is different.
factoring is one method of finding the square roots.
use of the quadratic equation is another.
factoring by squaring is another.
all different methods with the same purpose, that purpose being to find the roots of the quadratic equation.
you can also find the roots by graphing.
of all the methods, the quadratic equation finds you all the roots, whether they are real or not.
here's a pretty good reference on solving quadratic equations.
https://www.purplemath.com/modules/solvquad.htm

Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
On solving quadratic equations see the lessons
    - Introduction into Quadratic Equations
    - PROOF of quadratic formula by completing the square
    - HOW TO complete the square - Learning by examples
    - HOW TO solve quadratic equation by completing the square - Learning by examples
    - Solving quadratic equations without quadratic formula
    - Who is who in quadratic equations
    - Using Vieta's theorem to solve qudratic equations and related problems
    - Using quadratic equations to solve word problems
    - Challenging word problems solved using quadratic equations
    - HOW TO solve the problem on quadratic equation mentally and avoid boring calculations
    - OVERVIEW of lessons on solving quadratic equations

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.

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