1)
а)3x^2+7x-25=0
D=49+12*25=349
D>0 значит уравнение имеет 2 корня
б)2x^2+x+5=0
D=1-40=-39
D<0 значит уравнение не имеет корней
2) а)x^2-11x-42=0
D=121+84=205
x1 =(11+корень из205)/2
x2 =(11-корень из205)/2
б) -2x^2-5x-2=0
2x^2+5x+2=0
D=25-16=9
x1=(-5+3)/4=-0.5
x2=(-5-3)/4=-2
<span>1)sin(x-pi/4)=0</span>
t=<span>x-pi/4</span>
<span>sint=0</span>
<span>1.t=0+2pi*k</span>
x-pi/4=0
x=pi/4
2.t=pi+2pi*k
pi=x-pi/4
x=5pi/4+2pi*k
3)<span>sinx(3x+pi/3)=1</span>
<span>t=<span>3x+pi/3</span></span>
<span><span>sint=1</span></span>
<span><span>t=pi/2</span></span>
<span><span>3x+pi/3=pi/2</span></span>
<span><span>x=pi/18</span></span>
<span><span>5)<span>tg(x-pi/6)=-√3</span></span></span>
<span><span><span>t=x-pi/6</span></span></span>
<span><span><span>tgt=-√3</span></span></span>
<span><span><span>t=-pi/3+2pi*k . k=Z</span></span></span>
<span><span><span>t=2pi/3+2pi*k . k=Z</span></span></span>
2√n+1 при n= -3/4
2√1-3/4=2√1/4=2×1/2=1
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