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viva [34]
3 years ago
9

What are the roots of the polynomial equation x^3 -6x=3x^2-8? Use a graphing calculator and a system of equations.

Mathematics
2 answers:
KIM [24]3 years ago
8 0

Answer:

-4,1,3

Step-by-step explanation:

Because they all fit

EleoNora [17]3 years ago
8 0

Answer:

Hence, the roots of the polynomial equation are:

-2, 1, 4

Step-by-step explanation:

We are asked to find the roots of the polynomial equation:

x^3-6x=3x^2-8

We can also equate this equation to y to obtain a system of equation as:

y=x^3-6x

and y=3x^2-8

Hence, the roots of the polynomial; equation are the x-values of the  point of intersections of the graph of the system of equations.

Hence, the point of intersection of the two graphs are:

(-2,4), (1,-5) and (4,40)

Hence, the roots of the polynomial equation are:

-2, 1, 4

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