2х<span>^2 - 3х = 0
х ( 2х - 3 ) = 0
х = 0 или 2х - 3 = 0
2х = 3
х = 3/2 = 1,5
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Х^2+10х-24=х^2+10х+25-49=(х+5)^2-49=(х+5-7)*(х+5+7)=(х-2)*(х+12)
1) (x+101)/(x+7) = 13
x + 101 = 13 x + 91
12x = 10
<span>x = 5/6
</span>2) 5 ( 8x+4 ) + 1> 26x + 147
40 x + 20 + 1 - 26x >147
14x > 147 - 20 - 1
x>9
3) -22 = х - x^2
x^2 - x- 22 = 0
D = 89
x1 =
x2 =
4) (x-6)(-x-10) = 58
-x^2 - 4x + 2 = 0
x^2 + 4x - 2 = 0
D = 24
x1 = (-4-2√6)/2 = -2 -√6
x2 = -2 + <span>√6</span>
1)sin(3x-x)=0
2x=πn
x=πn/2
2)2sin2xcos10x=0
sin2x=0⇒2x=πn⇒x=πn/2
cos10x=0⇒10x=π/2+πn⇒x=π/20+πn/10
3)Разделим на cos²x≠0
4tg²x-5tgx+1=0
tgx=a
4a²-5a+1=0
D=25-16=9
a1=(5-3)/8=1/4⇒tgx=1/4⇒x=arctg1/4+πn
a2=(5+3)/8=1⇒tgx=1⇒x=π/4+πn