А)
5x²-6x-32=0
D=36+640=676
√D=26
x1=(6-26)/10=-2
x2=(6+26)/2=16
5x²-6x-32=5(x+2)(x-16)
5x²-11x<em>-16=0
D=121+</em>320=441
√D=21
x1=(11-21)/10=-1
x2=(11+21)/10=3.2
b)
x²-11x+30=0
x1=5
x2=6
<u>(x-5)(x-6)</u>
x²-12x+36=0
x1=x2=6
<u>(x-6)(x-6)=(x-6)²</u>
b)
2x²+7x+5=0
D=49-40=9
√D=3
x1=(-7-3)/4=-10/4=-2.5
x2=(-7+3)/4=-1
2(x+2.5)(x+1)=<em><u>(2x+5)(x+1)</u></em>
3x²+3x=<u>3x(x+1)</u>
c)
5x²+18x-8=0
D=484
√D=22
x1=(-18-22)/10=-4
x2=(-18+22)/10=0.4
5(x+4)(x-0.4)=<u>(x+4)(5x-2)</u>
25x²-4=<u>(5x-2)(5x+2)</u>
<u>
</u>
<em>
</em>
-4X = 14
X = ( - 14\4) = ( - 3.5)
5 sin 3x -5=0
5 sin 3x=5
sin 3x=5/5
sin 3x =0
3x=pi k, k∈Z
x=pi/3 k, k∈Z
Ответ: pi/3 k, k∈Z
(×-14/×-15)-14/13=0
(13х-182-14х+210)/13×-195=0
(-×+28)/13×-195=0
-×+28=0
-×=-28
×=28