The roots of the given polynomials exist
, and
.
<h3>What is the formula of the quadratic equation?</h3>
For a quadratic equation of the form
the solutions are

Therefore by using the formula we have

Let, a = 1, b = -16 and c = 54
Substitute the values in the above equation, and we get

simplifying the equation, we get



Therefore, the roots of the given polynomials are
, and
.
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Answer:
155
Step-by-step explanation:
5*5=25
((5*13)/2)*4=130
130+25=155
To identify the dependent variable in the testable, look out for the variable that is affected by the other. The variable that changes as a result of another variable is the dependent variable.
In a research study, there are typically two main variables that direct the scientific enquiry. They are:
- Dependent Variable, and
- Independent Variable
The independent variable causes a change in the dependent variable, i.e. the dependent variable receives the <em>effect</em>, the independent variable is the <em>cause </em>of the change.
It is very easy to identify the dependent variable in any testable hypothesis once you are able to pick out which variable is causing a change in the other.
For example, let's say the topic of a research is: <em>The Impact of Sunlight on Germination Rate of Seedlings.</em>
Here, <em>Sunlight </em>is the independent variable affecting <em>Germination Rate</em>.
The dependent variable here would be: <u><em>Germination Rate.</em></u>
Therefore, to identify the dependent variable in the testable, look out for the variable that is affected by the other. The variable that changes as a result of another variable is the dependent variable.
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The second term of the expansion is
.
Solution:
Given expression:

To find the second term of the expansion.

Using Binomial theorem,

Here, a = a and b = –b

Substitute i = 0, we get

Substitute i = 1, we get

Substitute i = 2, we get

Substitute i = 3, we get

Substitute i = 4, we get

Therefore,



Hence the second term of the expansion is
.
Midpoint=12.5 let me know if this helps