Question 1040840
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y^2(1-x)=x^2(x+1)

what is this relation called?
Graph the relation
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This relation is called an equation.

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{{{graph( 330, 330, -2.5, 2.5, -5.5, 5.5,
          sqrt((x^2*(x+1))/(1-x)),
          -sqrt((x^2*(x+1))/(1-x))
)}}}


Plot &nbsp;y = {{{sqrt((x^2*(x+1))/(1-x))}}}  (red line)


Plot &nbsp;y = {{{-sqrt((x^2*(x+1))/(1-x))}}}  (green line)


The domain is &nbsp;&nbsp;-1 <= x < 1.

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<U>Comment from student</U>: That is not what the graph looks like in the answers. It looks like a sideway cancer ribbon



<U>My response</U>: if you know more than I it is even better.

<pre>
By the way, what is shown in the plot by the red line, is the positive branch of the function y = {{{sqrt((x^2*(x+1))/(1-x))}}}.

What is shown in the green line is the negative branch of this function: y = {{{-sqrt((x^2*(x+1))/(1-x))}}}.

It is plotted under the assumption that your formula is 

{{{y^2*(1-x)}}} = {{{x^2*(x+1)}}}.

But Your writing is ambiguous: it may be read in more than 1 way.

Use parentheses to make your formulas unambiguous.
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Good luck!