Question 1150899
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If you're looking to find the roots of the equation
x^3-3x^2+8x-36 = 0


Then the best bet is to use the root finder on your calculator. Cubics can be solved by hand, but are usually a pain (unless your teacher carefully crafts one that can be factored and solved using the zero product property).


Using a calculator, the only approximate root is
x = 3.577053202120514
Round that however you need to


The graph is below. The x intercept corresponds directly to the root we just found
<img src = "https://i.imgur.com/6Oy7DIM.png">
Image generated by <a href = "https://www.geogebra.org/">GeoGebra</a> (free graphing software). 
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