Find the equation that roots inverted roots of the equation
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Originally Posted by dapore Find the equation that roots inverted roots of the equation Say the roots of are . Is what you want the equation whose roots are ? See here...
Originally Posted by dapore Find the equation that roots inverted roots of the equation Just replace by in the equation: . Then multiply through by . (The new equation is very similar to the original one.)
Originally Posted by Opalg Just replace by in the equation: . Then multiply through by . Why does this work, may I ask?
Originally Posted by TheCoffeeMachine Why does this work, may I ask? If alpha is a solution, then is a factor. Do you see how the relation is the same as starting with
I believe this works simply because
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