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Find the coordinates of the points of intersection of the following functions y=x²-5x/x 3 and y=2x

User FrankyBoy
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Final answer:

To find the coordinates of the points of intersection between the functions y = x² - 5x/x³ and y = 2x, set the two functions equal to each other and solve for x. The resulting equation is a cubic equation, which can be solved using factoring, the Rational Root Theorem, or a graphing calculator.

Step-by-step explanation:

To find the coordinates of the points of intersection between the functions y = x² - 5x/x³ and y = 2x, we need to set the two functions equal to each other and solve for x. So, we have:

x² - 5x/x³ = 2x

Multiplying both sides of the equation by x³ to get rid of the denominator, we have:

x² - 5x = 2x * x³

Simplifying further, we have a cubic equation:

x² - 5x = 2x⁴

To solve this cubic equation, we can rearrange it to bring all terms to one side of the equation and use factoring, the Rational Root Theorem, or a graphing calculator to determine the solutions.

User Pmkro
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