SOLUTION: What are the different methods of solving quadratic equations? What method do you prefer, and in what cases?

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Question 821733: What are the different methods of solving quadratic equations? What method do you prefer, and in what cases?
Found 2 solutions by TimothyLamb, richwmiller:
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
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for the quadratic in standard form f(x) = ax^2 + bx + c
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one real solution, or two real solutions, or two complex solutions (depending on the values of a, b, and c), can be found by using the quadratic formula.
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a fast way to quadratic equations is by using this solver:
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for example:
2x^2 - 8x - 120 = 0
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the above quadratic equation is in standard form, with a=2, b=-8, and c=-120
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
2 -8 -120
into this solver: https://sooeet.com/math/quadratic-equation-solver.php
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the two real roots (i.e. the two x-intercepts), of the quadratic are:
x = 10
x = -6
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Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
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Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
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Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
1) quadratic formula
2) complete the square
3) factor
in reverse order