Which system of equations can be used to find the roots of the equation ?

Asked by maham237 @ 22/12/2020 in Mathematics viewed by 381 People

Which system of equations can be used to find the roots of the equation 4x2 =x3 +2x?

Answered by maham237 @ 22/12/2020

Answer:

$\left \{ {{y=4x^2} \atop \\ \\ {y=x^3+2x}} \right.$

Explanation:

An equality can be transformed in a system of equations by making each side equal to a new variable. In this case the variable y was made equal to each side.

See that may find the solution of such system by graphing both functions in a same coordinate system, where the intersection of the functions would show the solution of the system.

I show you that in the attached image. In such graph, the red curve is the function y = x² and the blue function is y = x³ + 2x.

The intersection point is (0,0) meaning that the solution is x = 0, y = 0.

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