ax^2-(根号2)bx+c=0,a,b,c>0
ax^2-(根号2)bx+a=0
假设x1>x2>0
x1-x2=根号2
x1+x2=根号2b/a,x1x2=1,
x1=√2( 1+b/a)/2,x2=√2( -1+b/a)/2
(1+b/a)(b/a-1)=2
b=√3a=√3c
sin(顶角/2)=a/(b/2)=√3/2
顶角=120°
底角=30°
ax^2-(根号2)bx+c=0,a,b,c>0
ax^2-(根号2)bx+a=0
假设x1>x2>0
x1-x2=根号2
x1+x2=根号2b/a,x1x2=1,
x1=√2( 1+b/a)/2,x2=√2( -1+b/a)/2
(1+b/a)(b/a-1)=2
b=√3a=√3c
sin(顶角/2)=a/(b/2)=√3/2
顶角=120°
底角=30°