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the solutions to the related equation are 0,2,3 .
<u>Step-by-step explanation:</u>
Here we have , function f(x) = x3 – 5x2 + 6x . Graph of this function is given below . We need to find What are the solutions to the related equation . Let's find out:
Solution of graph means the value of x at which the value of f(x) or function is zero . We can determine this by seeing the graph as at what value of x does the graph intersect or cut x-axis !
At x = 0 .
From the graph , at x=0 we have f(x) = 0 i.e.
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At x = 2 .
From the graph , at x=2 we have f(x) = 0 i.e.
⇒
⇒
⇒
At x=3 .
From the graph , at x=3 we have f(x) = 0 i.e.
⇒
⇒
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Therefore , the solutions to the related equation are 0,2,3 .
Plug the values in the equation and find b
(x, y) and m = slope
(x, y) and m = slope