y^2=x^3+17,P1(-2,3),P2(2,5)
[1]2P1
倍角公式にP1(-2,3),a=0,b=17を代入すると
x3=(x1^4-2ax1^2-8bx1+a^2)/4(x1^3+ax1+b)
=(16+8・17・2)/4(-8+17)=288/36=8
y3={(3x1^2+a)/2y1}(x1-x3)-y1
=(12/6)(-2-8)-3=-23
[2]P1-P2
P1+(-P2),P1(-2,3),-P2(2,-5)
x3={(y2-y1)/(x2-x1)}^2-x1-x2
=(-8/4)^2+2-2=4
y3={(y2-y1)/(y2-y1)}(x1-x3)-y1
=(-2)(-2-4)-3=9
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