Provide an appropriate response.Explain why the following five statements ask for the same information.(a) Find the roots of f(x) = 4x3 - 2x - 5.(b) Find the x-coordinate of the points where the curve y = 4x3 crosses the line 
(c) Find all the values of x for which 4x3 - 2x = 5.(d) Find the x-coordinates of the points where the cubic curve y = 4x3 - 2x crosses the line 
(e) Solve the equation 4x3 - 2x - 5 = 0.
What will be an ideal response?
The roots of f(x) are the solutions to the equation f(x) = 0. Statement (b) is asking for the solution to the equation 
Statement (d) is asking for the solution to the equation 
These three equations are equivalent to the equations in statements (c) and (e). As five equations are equivalent, their solutions are the same.
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