cubic function a>0 solution α<β<γ x<α f(x)<0 α<x<β 0<f(x) β<x<γ f(x)<0 γ<x 0<f(x) a<0 solution α<β<γ x<α f(x)>0 α<x<β 0>f(x) β<x<γ f(x)>0 γ<x 0>f(x) T.theodor 2022.7.25</x></x<γ></x<β></x<β>

(x+a)4/abaa4 + y4/abab4 + 2y2/abab2 = 1 T.theodor 2022.7.25

(x+a)4/abaa4 + y4/abab4 + 2y2/abab2 = 1 T.theodor 2022.7.25

( x+a )4 - y4 + 2y2r2 = r4 T.theodor 2022.7.25

y = √ f(x)/ggg(x) T.theodor 2022.7.22

-x4+y2+2x2-1 = 0 T.theodor 2022.7.25

lemniscate equation ハ、locus 之如くナラズ。 T.theodor 2022.7.25

Cassinian oval equation ハ、 locus 之如くナラズ。 T.theodor 2022.7.25

Three square theorem △ABC circle o r = c/2 △ABC = △ABC' T.theodor 2022.7.24

Three square theorem c4 = ( a2 + b2 )2 = a2c2+b2c2 = a2(√a2+b2)2+b2(√a2+b2)2 T.theodor 2022.7.24

a → x y = - b ±√b2 - 4xc/2x b → x y = - x ±√x2 - 4ac/2a c → x y = - b ±√b2 - 4ax/2a T.theodor 2022.7.23

f(y) = f(x) ay2 + by + c = dx2 + ex + f T.theodor 2022.7.23

Cartesian coordinate system x：y = 1：1 x：y = α：β T.theodor 2022.7.23

y = y' = ±1 T.theodor 2022.7.23

y2 - x2 = r2 T.theodor 2022.7.22

y = αxn±βxn-1…±ψx±ω = 0 T.theodor 2022.7.21

y = √ f(x)/ggg(x) T.theodor 2022.7.22

circle equation a2+ 4( r2 - a2 ) = 0 solution 1 a2+ 4( r2 - a2 ) > 0 solution 2 a2+ 4( r2 - a2 ) < 0 solution 0 T.theodor 2022.7.22

Napier's constant ハ、limt デ有リ、定数デハ無ク、又、収束シ無イ。 T.theodor 2022.7.22

asymptote m，n ∈ R T.theodor 2022.7.22

asymptote m，n ∈ R T.theodor 2022.7.22

cubic function b2 - 3ac > 0 解 3 b2 - 3ac = 0 解 1 T.theodor 2022.7.22

y = αxn±βxn-1…±ψx±ω = 0 T.theodor 2022.7.21

y = α( )n + β( )n-1 + γ( )n-2 … ψ ( )+ ω = 0 T.theodor 2022.7.21

y = ( x-α )n + β ( α，β ) T.theodor 2022.7.21

y = | ( x- α )n | + β ( α，β ) T.theodor 2022.7.21

cubic function 9a2t2+5abt+t2 = 0 二点 T.theodor 2022.7.21

半径 α S = 1/2nα2 sin 360°/n L = n√2α2 ( 1- cos 360°/n ) T.theodor 2022.7.21

rational function y = √f(x)/g(x) y = f(x)/√g(x) T.theodor 2022.7.21

x2-2x+2(√-x2+2x +y2 = 1 T.theodor 2022.7.21