Which system of equations can be used to find the roots of the equation4x^5-12x^4+6x=5x^3-2x?
1 answer:
Answer:
y = 4x^5 - 12x^4 + 6x and
y = 5x^3 - 2x
Step-by-step explanation:
The system of equations that can be used to find the roots of the equation 4x^5-12x^4+6x=5x^3-2x are;
y = 4x^5 - 12x^4 + 6x and
y = 5x^3 - 2x
We simply formulate two equations by splitting the left and the right hand sides of the given equation.
The next step is to graph these two system of equations on the same graph in order to determine the solution(s) to the given original equation.
The roots of the given equation will be given by the points where these two equations will intersect.
The graph of these two equations is as shown in the attachment below;
The roots are thus;
x = 0 and x = 0.813
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So the area is : 800 cm² (rectangular shaped)
The area formula of a circle is:
The diameter of the plate is 20cm
so the radius is half the diameter which is 10cm
Apply the given to the formula:
100
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2 plates in the bottom drawer
Area of two plates:
2 × 314.16
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Area of the non-covered space in the bottom drawer:
Area of drawer - area of two plates
800 - 628.32
171.68 cm²