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Both sides previous revision Previous revision Next revision | Previous revision | ||
polynomial_function [2016/10/11 13:12] nikolaj |
polynomial_function [2016/10/11 13:13] nikolaj |
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$q(x)=x\,x-a\,x$ | $q(x)=x\,x-a\,x$ | ||
- | $q(x)=0 \implies x=\lor x=a$ | + | $q(x)=0 \implies (x=0\lor x=a)$ |
== A small deviation == | == A small deviation == | ||
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$p(x)=0 \implies x=a\cdot\dfrac{1+\epsilon\sqrt{1-\left(\frac{2}{a}\right)^2\cdot b}}{2}, \epsilon=\pm 1$ | $p(x)=0 \implies x=a\cdot\dfrac{1+\epsilon\sqrt{1-\left(\frac{2}{a}\right)^2\cdot b}}{2}, \epsilon=\pm 1$ | ||
+ | |||
+ | $\lim_{b\to 0}\sqrt{1-\left(\frac{2}{a}\right)^2\cdot b}=1$ | ||
<code> | <code> |