Fixed Point Equations - Exam Revision Help

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A fixed point equation refers to finding values where f(x) equals x, indicating that these points remain unchanged under the function. To determine fixed points, one must solve the equation f(x) = x. The discussion mentions working with a quadratic equation to identify these fixed points. The fixed points correspond to the intersections of the function with the line y = x. Understanding this concept is crucial for effective exam revision on fixed point equations.
morbello
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hi I am working on my exam revision and need to know the fixed point equation.if you could help it would be apreciated.



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I have no idea what you mean by the "fixed point equation". A value (number, point, etc.) satifying f(x)= x for a given function is a "fixed point" of that function. That may be the equation you are looking for.
 
so to find a fixed point f(x)=x and the numbers found are at there peak or that they are on the y=x axis.ive got a quadratic equation to work from and asked to find the fixed points.im unsure but thank you for your help.
 

Thread 'Greatest possible value of a constant in polynomial'

Since ##px^9+q## is the factor, then ##x^9=\frac{-q}{p}## will be one of the roots. Let ##f(x)=27x^{18}+bx^9+70##, then: $$27\left(\frac{-q}{p}\right)^2+b\left(\frac{-q}{p}\right)+70=0$$ $$b=27 \frac{q}{p}+70 \frac{p}{q}$$ $$b=\frac{27q^2+70p^2}{pq}$$ From this expression, it looks like there is no greatest value of ##b## because increasing the value of ##p## and ##q## will also increase the value of ##b##. How to find the greatest value of ##b##? Thanks
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