Замена: 2х^2-3x=t⇒t^2+7t-18=0⇒по теореме Виетта t1+t2=-7; t1*t2=-18⇒
t1=-9; t2=2
1)t=-9⇒<span>2х^2-3x=-9⇒</span><span>2х^2-3x+9=0
D=b^2-4ac=9-2*9*4=9-72<0⇒решений нет
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2)t=2⇒2х^2-3x=2⇒<span>2х^2-3x-2=0
D=b^2-4ac=9+2*2*4=25; √D=5⇒
x1=(3-5)/4=-2/4=-1/2; x2=</span><span>(3+5)/4=2
Ответ: -1/2; 2
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2sinx=√3
sinx=√3/2
x=(-1)^n*π/3+2πk,k∈z
N1
5 )= (3 -(sin² (-π/3) +cos²(-π/3)) )/2cosπ/4) =(3-1)/√2 =2/√2 =√2.
6) =2*(-1/2) + 3 +7,5 *0 +(1/8)*0 =2.
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N2
1) = (1+tq²α)/(1-tq²α) = || tqα =2 || = (1+2²)/(1-2²) =5/(-3) =- 5/3.
2) =|| разд числ и знам на cosα || =(tqα -1)/(tqα+1) =|| tqα =2|| =(2-1)/(2+1) = 1/3.
3) = (2tqα+3) /(3tqα+5) =|| tqα =2|| = (2*2+3)/(3*2+5) =7/11.
4) =|| разд числ и знам на cos²α|| =(tq²α+2)/(tq²α -1)=|| tqα =2|| =(2²+2)/(2²-1) =2.
F'(x)=u'(x)*v(x)+v'(x)*u(x)
f'(x0)=4*3+2*3=3(4+2)=18