<span>0,3(х-3)-0,5(6х-9)=0,3(14x-11)
0.3x-0.9-3x+4.5=4.2x-3.3
0.3x-3x-4.2x=-3.3+0.9-4.5
-6.9x=-6.9
x=-6.9 : (-6.9)
x=1
</span>
4.1)16x³+8x²+x=0
x(16x²+8x+1)=0
a)x=0
b)16x²+8x+1=0, D=64-64=0, √0=0
x=(-8)/32, x=-0,25
16x²+8x+1=(4x+1)²=0, 4x+1=0, 4x=-1, x=-1/4=-0,25
4.2.)x³+2x²-36x-72=0
x²(x+2)-36(x+2)=0
(x+2)(x²-36)=0, (x+2)(x+6)(x-6)=0
x1=-2, x2=-6, x3=6
5.) 3ˇ9-4ˇ3=27ˇ3-4ˇ3=(27-4)(27ˇ2+27.4.+4ˇ2)=23.(729+108+16)=
=23.853
6)a³-b³=(a-b)(a²+ab+b²)
(a-b)²=a²-2ab+b², 2²=a²+b²-2.3, 4=a²+b²-6, a²+b²=10
a³-b³=2(10+3)=2.13=26
6.11 б)
log3 (log2 x)=1
log3 (log2 x)=log3 3
log2x=3
log2 x=log2 8
x=8
<span>6.12 б
</span>log81 x+log9 x+log3 x=7
<span>Log3 x/log3 81 + log3 x/log3 9 + log3 x = 7 </span>
<span>log3 x/4 + log3 x/2 + log3 x = 7
</span>log (3)x + 2*log(3)x + 4*log(3)x = 28
<span>7 log(3)x = 28 </span>
<span>divide by 7 </span>
<span>log(3)x = 4 </span>
<span>3^4 = x </span>
<span>x= 81
</span>
<span>6.13 б
</span>log3 x+2log9 x+3log 27x+4log81x=8
<span>log[3]x+log[9]x^(2)+log[27]x^(3)+log[81]x^(4)=8
log[3]x+log[3^2]x^(2)+log[3^3]x^(3)+log[3^4]x^(4)=8
log[3]x+(2/2)log[3]x+(3/3)log[3]x+(4/4)log[3]x = 8
</span><span>log[3]x + log[3]x + log[3]x+</span><span>log[3]x</span><span> = 8
4 log[3]x = 8
log[3]x = 2
x = 3^2
x = 9 </span>
1. 4x-16<0 2. 3x+12>0
4x<16 / :4 3x>-12 / :3
х<4 х>-4
Ответ: x принадлежит (-4;4)
Не знаю, если нужно показать это графически то рисунок в фотографии.
1-sin^2h=cos^2h. Ответ: cos^2h.