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The
equation which is obtained through the comparing to zero the sum of the finite
number of terms every one of that is the multipolar of the positive integral
power involving a power of zero of a different variables. The algebraic
equation is defined as a statement of mathematical that has the two expressions
where the set are equal to the each other. Now in the simple words its means
the equality the sign of equal, and that the equation is all about the equating
of one quantity with one another
In
the algebra the equation of quadratic is the any equation which can be reorganized
in the normal form as;
Whereas
the x signifies the unidentified and the
To
solve a quadratic equation this is a present in this form
· Two
distinct of the real roots has
· One
real of the double root has
· There
is no real root if
The
exponential equation is the one where the variable happens in the form of
exponents for examples
The
function of exponential is the mathematical function in a below given form;
Whereas
Example:
As
shown in the above example we the examples with the different signs and values
without the brackets and we solved this example by applying using DMA’S rule.
Now
if we checking this solution so put the value of
Solution
The
above examples are about the simple algebraic equation with brackets; in this
example first we take the examples from our self. As shown in the above example we the examples
with the different signs and values with the brackets and we solved this example
by applying using the sequences of the brackets. (Your discussion should
pinpoint exactly how it is as the explanation to your solution…why the answer
is positive or negative[AJ1]
after the bracket is removed. How did
you get the solution? Explain the
specifics to your example. Your explanation is too general.)
Now
if we checking this solution so put the value of
Example 2:
[AJ1]It’s
just a signs, brackets does not effect on this
So that signs which place is with greater is your correct sings
As
shown in the above example we the examples with the different signs and values
with the brackets and we solved this example by applying using the sequences of
the brackets.
Now
if we checking this solution so put the value of
Hence both prove that
solution is correct
The
above example is the quadratic equation solving by the factoring method; in
this method first of all equation should be equal to zero. Then we take the
question as per requirements and solve this question by the factoring method.
In this method the number is the totally factor a number into the prime factors
which is positive where the prime number is that number which has the positive
factor are the 1 as well as itself. In this solution the above quadratic
equation is the standard quadratic equation. In this create the suitable pair
which is fit in the given question and solve the complete question as shown in
the above examples. Now we also solve the example by creating its quadratic equation
as we present in the below example;
Example 2
As
shown in the above example 2 first we take the algebraic equation in the different
arrangement, and then we set their arrangement in the form of the equation
Then
we solve this equation by the factoring method as shown above, and also check
their solution.
[AJ1]Standard Form of a Quadratic Equation looks like
Example
Hence prove that;
As
shown in the above examples we apply the quadratic formula the example is
correct because it’s shown in the checking both sides are equal.
Now the quadratic formula
solution steps are given as follows; first write the equations in a general
form of
Used quadratic formula
Hence prove that;
As
shown in the above examples we apply the quadratic formula the example is
correct because it’s shown in the checking both sides are equal.
Now the quadratic formula
solution steps are given as follows; first write the equations in a general
form of
Completing
square example
Solution
[AJ1]This
is standard form of
Now
this is our equation
a= 16; b = -12; c= -4
As
shown in the above examples we apply the completing square method the example
is correct because it’s shown in the checking both sides are equal.
First
we take the example of the algebraic equations as shown in the above examples
by using the completing square method.
solve
Exponential equation Solution
Example:
Consider
the following exponential equation 3 rose to the X plus 2 is equal to 9 raised
to the 2x minus 3. How can we find the value of x without using logs what you
need to do is change base into base dream 3 squared is equal to 9. So we can
replace 9 with 3 squared and whenever you raise one exponent to another
exponent you need to multiply so we got to multiply 2 by
Example:
Solution
Before we solve this problem since
there is no possibility of getting a common base on both sides. As the
left-hand side base is two whereas the right-hand side base is three. Therefore
we have no choice but to use the logarithm. To solve this problem so let's go
ahead and take a log on both sides I'm going to put a log on a left-hand side
and log on a right-hand side. And now we will be using this fact this is
So far so good look at the left-hand
side we see X as a you can factor it out because X is common so I can put X
outside and you put down log of two minus log of three equal to log of three
plus log of two. Now what we want to do is we want to isolate X so that means
we're gonna be dividing both sides by log of two minus log of three on this
side. And likewise log of two minus log of three on this side so this whole
thing is gone with this one so simply we ended up x equals true log of three
plus log of 2 divided by log of two minus log of three. Now the next step is use your calculator and
figure out log of two and log of three and here I have already figured out log
of two is approximately equal to 0.3 and log of 3 is approximately equal to
0.477 so let's plug it in those values right up here so X equal to log of three
is 0.477 plus log of two is 0.3 divided by log of 2 is 0.3 -0.477 and if you
simplify these ones that's gonna give you on the top 0.477 divided by negative
0.177 and if you divided that's gonna give you approximately equal to -4.4 so
thus X is approximately equal to -4.4is answer.
Summing
up all the discussion it is concluded that in this assignment that is about the
quantitative analysis. In this assignment we solve the algebraic equation by
using the different methods like the factoring method, completing square method
and the last one method is the quadratic formula. In the simple algebraic
equation which is containing the one variable (that is unknown value) and the
“equal signs” (=) by the mathematical expression of every side of it. And the algebraic
equation is defined as the statement of mathematical that has the two
expressions where the set are equal to the each other. Now the quadratic
equation rearranged in the standard form as;
To solve the quadratic
equation this is the present in this form
Bryce S. (2019). What Is an Exponential Function?
Retrieved from https://study.com/academy/lesson/whGEC4003 QM Writ 1 - L4B1 V1
Aug 2020at-is-an-exponential-function.html
Byjus.com. (2020). What are Algebraic Equations?
Retrieved from
https://byjus.com/maths/algebraic-equations/#:~:text=An%20algebraic%20equation%20can%20be,are%20like%20a%20balance%20scale.
Laura Pennington. (2020). Comparing Linear, Exponential & Quadratic Functions. Retrieved from https://study.com/academy/lesson/comparing-linear-exponential-quadratic-functions.html
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