А) 6x^2>5x-1
6x^2-5x+1>0
6x^2-5x+1=0
D=(-5)^2-4*6*1=25-24=1
x1=5+√1=5+1=6=1\2
2*6 12 12
x2=5-√1=5-1=4=1\3
2*6 12 12
6x^2-5x+1=6(x-1\2)(x-1\3)
6(x-1\2)(x-1/3)>0
+ - +
/////////////// //////////////
-------------(1\3)------------------(1\2)-------------
Ответ:(-∞;1\3)U(1\2;+∞)
б) -5x^2<6-11x
-5x^2-6+11x<0
-5x^2+11x-6<0
-5x^2+11x-6=0
D=11^2-4*(-5)*(-6)=121-120=√1
x1=-11+√1=-11+1=-10\-10=1
2*(-5) -10
x2=-11-√1=-11-1=-12\-10=1.2
2*(-5) -10
-5x+11x-6=-5(x-1)(x-1.2)
-5(x-1)(x-1.2)<0
- + -
////////////////// /////////////////////
-----------------(1)----------------(1.2)----------------------
Ответ: (-∞;1)U(1.2;+∞)
4x^+4x+1=0
<span>(2X+1)^2=0
2x+1=0
x=-1/2</span>
4.
a) ab - 4b + 7a - 28 = b(a - 4) + 7(a - 4) = (b + 7)(a - 4)
b) x^3 - 5x^2 + x - 5 = x^2(x - 5) + 1(x - 5) =(x^2 + 1)(x - 5)
5.
x, x+1, x+2
(x+1)(x+2) - x^2 = 50
x^2 + 2x + x + 2 - x^2 = 50
3x + 2 = 50
3x = 48
x = 16
x + 1 = 17
x + 2 = 18
Ответ: 16, 17, 18
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В первом одночлен равен 8x^60 , а второй 8х^61 .ОТВЕТ НЕТ