Title: Methods of Solving Quadratic Equations
1Methods of Solving Quadratic Equations
2(No Transcript)
3The first one is to factor the quadratic equation
when you are able to do this, you can also use
the quadratic formula or you can complete the
square. If you want to use any of these methods,
you have to be aware of the step by step to
follow .
4Factoring of the quadratic equation
- Combine the like terms and move them at just one
side you should start by factoring the equation
by moving all the terms to go to one side of an
equation and to keep the square root positive.
5In combining the term, then you should subtract
or add the terms that are a square root, that
have variable terms and these of constant. If
the side does not have the remaining term, you
may write 0 and the other side of the equal sign.
6- Factoring of expression if you want to factor
expression, you will have to use the factors term
and the factors of the constant term in order to
multiply them and to add up the middle terms.
7You can then set every set in the parenthesis
which equal to zero into the separate equation.
This can lead in finding out the two values, and
it can make an entire equation to be equal to
zero. When you have finished factoring the
equation, then you may put all the expression on
every set of the parenthesis that equal to zero.
8(No Transcript)
9When you have finished factoring the equation,
then you may put all the expression on every set
of the parenthesis that equal to zero. To get
the multiplication of zero, there are rules,
principles, and rules. This means that if any of
the factors outside of the parentheses equal to
zero, the one outside may also equal to zero.
10- You can then solve each zeroed equation alone. In
the quadratic equation, they can be two values
for the x. You can find x for every possible
value and one by one through isolating variables
and writing down two variables for two solutions
of the x like the final solution.
11The use of Quadratic Formula
- You should start by combining the likes term and
to move them from one side to another. You can
move the terms from one side of an equal sign and
to keep the square root term positive.
12(No Transcript)
13When you are writing the terms, you should use
the descending order for the degree and the term
will come first and them the variable term and
the rest is the constant term.
14- After writing down the formula, you should
identify the value of the quadratic equation and
fill them into the formula.
15Calculate after plugging in numbers, you can do
remaining math in order to simply the negative
and the positive sign, to multiply and to get the
square of the remaining terms.
16You can then simplify the square root. When the
number in the radical symbol is not that perfect,
you can get the whole number. When the number
does not have a perfect square, you will have to
simplify it to reach to the simplest radical
version.
17The third option is completing a square root
- You can start by moving all the terms at one side
of the equation and ensure that the square root
is positive before putting the constant to its
side and to continue with the procedure. - Check this out https//quickmath.com