What are the roots of the polynomial equation x^4 + x^2 = 4x^3 -12x +12 ? Use a graphing calculator and a system of equations. R
ound noninteger roots to the nearest hundredth.
A)–12
B) –2.73, 2.73
C) –1.73, 1.73
D) 12
A)–12
B) –2.73, 2.73
C) –1.73, 1.73
D) 12
2 answers:
Answer : option C
Explanation:
there will be 4 roots for the given polynomial but in graph you will see 3 points because (2,0) is repeating two times
we can see the root graphically
the points that intersect x-axis are the roots
Here, x-axis is cut at 3 points so, these points will be the root of given polynomial.
please see the attached graph
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Answer:
y = -1 and u = 3.333
Step-by-step explanation:
The given equations are :
3u + y = 9 ...(1)
3u-5y = 15 ...(2)
Subtract equation (2) from (1).
3u + y-( 3u-5y)= 9 -15
y+5y = -6
6y = -6
y = -1
Put the value of y in equation (1).
3u + (-1) = 9
3u-1 = 9
3u = 10
u = 10/3
u = 3.333
The attached figure shows the graph for the above equations.
The given inequality is:
This inequality can be divided in two parts as:
a)
b)
Solving part a:
Solving part b:
Therefore, the solution to the given inequality is
and 
. Combining both the ranges we get the solution: 
.
In interval notation, this solution can be expressed as [1,5]
This inequality can be divided in two parts as:
a)
b)
Solving part a:
Solving part b:
Therefore, the solution to the given inequality is
In interval notation, this solution can be expressed as [1,5]