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Draw the graph of y=x^(4)+2x^(2)-8x+3 ...

Draw the graph of `y=x^(4)+2x^(2)-8x+3`
Find the number of real roots of the equation `x^(4)+2x^(2)-8x+3=0`.
Also find the sum of the integral parts of all real roots.

Text Solution

AI Generated Solution

To solve the problem step by step, we will first analyze the polynomial function \( y = x^4 + 2x^2 - 8x + 3 \) and then find the required values. ### Step 1: Find the derivative of the function To analyze the function, we first need to find its derivative: \[ y' = \frac{dy}{dx} = 4x^3 + 4x - 8 \] ...
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