What is the value of x in the equation below? –3 – (–8) – (–2) = x
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Answer:
Step-by-step explanation:
See the comment for complete question.
Given
----- Constant
No coefficient of x^2
Required:
Determine the sum of all distinct positive integers of the coefficient of x
Reading through the complete question, we can see that the question has 3 terms which are:
x^2 ---- with no coefficient
x ---- with an unknown coefficient
36 ---- constant
So, the equation can be represented as:
Where a is the unknown coefficient
From the question, we understand that the equation has two negative integer solution. This can be represented as:
and
Using the above roots, the equation can be represented as:
Open brackets
To compare the above equation to , we have:
Where: and
The values of and
that satisfy
are:
and
and
and
and
So, the possible values of a are:
When and
When and
When and
When and
At this point, we have established that the possible values of a are: -37, -20, -15 and -9.
The required sum is:
The degree of f(x) is 4. Also the leading coefficient is 1 and it is positive
So as x approaches infinity then y approaches infinity
as x approaches -infinity then y approaches infinity
The first and fourth graph goes up and it satisfies the above . so we ignore the second and third graph.
Now we check the x intercepts of the first graph
x intercepts of first graph is -4 and 2
Plug in -4 for x in f(x) and check whether we get 0
Now plug in 2 for x and check
So -4 and 2 are the x intercepts that satisfies f(x)
Hence first option is the graph of