(x²-2y²)²=x⁴-4x²y²+4y⁴
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4x⁴+4x²-15=0
x²=m, m>0
4m²+4m-15=0
D=4²+4*4*15=16+240=256=16²
m=(-4+16)/2*4=12/8=3/2
m=(-4-16)/2=-10 - пост. корень
x²=3/2
x=√3/2, x=-√3/2
6cos60°-4sin30°+6ctg60°-8ctg30°=
=6.1/2 -4.1/2+6.√3/3 -8.√3=6/2-4/2+2√3-8√3=
=3-2-2√3=1-2√3
(cos60°=sin30°=1/2,ctg60°=tg30°=(√3)/3, ctg30°=tg60°=√3)
1) 9/4 - 15/12 = 9*3/12 - 15/12 = 27/12 - 15/12 = 12/12 = 1